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Newest Integration Questions

1. integrate with limits of 2 and -2 (x^3(cos x/2) +1/2) (sqrt 4-x^2)dx
   1. 1 answer
   2. 48 views
2. intergrate (1+sin(x))dx bound is pi and 0
   1. 3 answers
   2. 58 views
3. R is the region bounded above by the graph of f(x)=2e^−x^2 and below by the x-axis over the interval [1,2]. Find the volume of
   1. 2 answers
   2. asked by Anonymous
   3. 629 views
4. f(x) = summation from n = 1 to ∞ of (x^n)((n + 1) / 4^(n +1)) with an interval of convergence, –4 < x < 4.Find exactly the
   1. 1 answer
   2. asked by Kerbogha
   3. 580 views
5. Let R be the region in the first quadrant enclosed by the graph of f(x) = sqrt cosx, the graph of g(x) = e^x, and the vertical
   1. 2 answers
   2. asked by Faye
   3. 18,554 views
6. 1. Find the volume V obtained by rotating the region bounded by the curves about the given axis.y = sin(x), y = 0, π/2 ≤ x
   1. 1 answer
   2. asked by Anonymous
   3. 4,607 views
7. Let F of x equals the integral from 1 to 3 times x of the natural logarithm of t squared. Use your calculator to find F″(1).A.
   1. 1 answer
   2. asked by Justin
   3. 2,006 views
8. Find d/dx integral(with upper bound of 4x and lower bound of 1) of square root of t^2 +1 dt.A. sqrt(4x+1) B. sqrt(16x^2+1) +
   1. 2 answers
   2. asked by Justin
   3. 558 views
9. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the
   1. 2 answers
   2. asked by Philip
   3. 887 views
10. f(x) = summation from n equals 0 to infinity of (n+1)/(4^(n+1)) and x^n with an interval of convergence, –4 < x < 4. Find
    1. 1 answer
    2. asked by Alice
    3. 487 views
11. Use the mid-point rule with n = 4 to approximate the area of the region bounded by y = -x^3 and y = -x
    1. 1 answer
    2. asked by Will
    3. 887 views
12. Use the midpoint rule with n=4 to approximate the region bounded by y=-x^3 and y=-xShow that the function f(x)= (integral from
    1. 4 answers
    2. asked by Ke$ha
    3. 4,000 views
13. 1) Find the area of the region bounded by the curves y=arcsin (x/4), y = 0, and x = 4 obtained by integrating with respect to y.
    1. 3 answers
    2. asked by Danni
    3. 4,889 views
14. Let M be the region under the graph of f(x) = 3/e^x from x=0 to x=5.A. Find the area of M. B. Find the value of c so that the
    1. 1 answer
    2. asked by Anonymous
    3. 2,304 views
15. f(x)=(x+1)/(1+x^2)a) explain why the graph lies above the x axis on the interval x=0 and x=sqrt(3) b)write an expression using
    1. 1 answer
    2. asked by Matthew
    3. 935 views
16. Determine the interval on which f(x) = ln(x) is integrable.(0, ∞) [0, ∞) (−∞, 0) U (0, ∞) All reals
    1. 1 answer
    2. asked by Mel
    3. 722 views
17. f(t) = \int_0^t \frac{x^2+11 x+24}{ 1+\cos^2(x)} dxAt what value of t does the local max of f(t) occur? t = ?
    1. 1 answer
    2. asked by Anonymous
    3. 514 views
18. How do I find the following volumes formed by rotating the region bounded by: y=x^2, x^2+y^2=2, about the line y=-2(set up only
    1. 1 answer
    2. asked by Kaylea
    3. 363 views
19. Determine if the Mean Value Theorem for Integrals applies to the function f(x) = x^3 − 9x on the interval [−1, 1]. If so,
    1. 0 answers
    2. asked by Anonymous
    3. 1,063 views
20. Integrate:∫ x^2(x^2+1)sqrt(4-2x^3-x^4) dx
    1. 0 answers
    2. asked by Bob
    3. 350 views
21. 1. Evaluate the given integral by making an appropriate change of variables, where R is the region in the first quadrant bounded
    1. 0 answers
    2. asked by lala
    3. 868 views
22. The region R is bounded by the x-axis, y-axis, x = 3 and y = 1/(sqrt(x+1))A. Find the area of region R. B. Find the volume of
    1. 0 answers
    2. asked by Anon
    3. 684 views
23. The area A of the region S that lies under the graph of the continuous function is the limit of the sum of the areas of
    1. 1 answer
    2. asked by christina
    3. 3,394 views
24. U substitution on indefinite integral/antiderivative.(t^3+4)^-2 t^2 On this should I use u on the parenthesis and should I put
    1. 2 answers
    2. asked by Beth
    3. 579 views
25. 1. Find the area of the region bounded by the curves and lines y=e^x sin e^x, x=0, y=0, and the curve's first positive
    1. 1 answer
    2. asked by Jessy152
    3. 1,643 views
26. Find the volume generated if the region bounded by y = sin 2x and y = cos x, π/6 ≤� x ≤ �π/2is revolved about the line y =
    1. 0 answers
    2. asked by Em
    3. 829 views
27. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
    1. 0 answers
    2. asked by luca
    3. 483 views
28. use Simpson's Rule with n=10 to approximate the area of the surface obtained by rotating the curve about the x-axis. y = xln(x)
    1. 0 answers
    2. asked by rohan
    3. 650 views
29. Section Antiderivatives:Find the function f(x) satisfying the given conditions. f''(t) = 4 + 6t, f(1) = 3, f(-1) = -2
    1. 0 answers
    2. asked by Sandra Gibson
    3. 519 views
30. The region R is bounded by the x-axis, x = 1, x = 3, and y = 1/x^3.Here is what I have so far: Radius = 1/(x^3) Area of Cross
    1. 2 answers
    2. asked by Mooch
    3. 616 views
31. given �ç 1to-1 f(x)dx=0 and �ç 1to0 f(x)dx=5, compute the followinga.�ç 0to-1 f(x)dx b.�ç 0to1 3f(x)dx=0 c.�ç 1to-1
    1. 2 answers
    2. asked by Jake
    3. 399 views
32. definite integral from 0 to 1 of 5xln(x+1)dx
    1. 1 answer
    2. asked by Ed
    3. 442 views
33. 1.evaluate (integral sign)x cos 3x dxA.1/6 x^2 sin 3x + C B.1/3 x sin 3x -1/2 sin 3x +C C.1/3 x sin 3x +1/9 cos 3x +C << my
    1. 2 answers
    2. asked by anon
    3. 630 views
34. Consider the region trapped between the graphs of y=9-x^2 and y=11-3x.a) find the area of this region b) set up an integral
    1. 0 answers
    2. asked by Nellie
    3. 500 views
35. Find the arc length of the graph of the function over the interval [1,2].
    1. 1 answer
    2. asked by Anonymous
    3. 928 views
36. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
    1. 1 answer
    2. asked by Anonymous
    3. 932 views
37. Find the area of the curve y = 1/(x^3) from x = 1 to x = t and evaluate it for t = 10, 100, and 1000. Then find the the total
    1. 3 answers
    2. asked by Alyssa
    3. 1,149 views
38. R is the region in the plane bounded below by the curve y=x^2 and above by the line y=1.(a) Set up and evaluate an integral that
    1. 0 answers
    2. asked by Jake
    3. 839 views
39. The Region "R" under the graph of y = x^3 from x=0 to x=2 is rotated about the y-axis to form a solid.a. Find the area of R. b.
    1. 2 answers
    2. asked by Mike
    3. 514 views
40. Estimate the area of the region under the curve y = ln(x) for 1 ≤ x ≤ 4. Use the left hand rule with n = 50. Give your
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    2. asked by Dana
    3. 489 views
41. 1. The distance s(t) between an object and its starting point is given by the anti derivitive of the velocity function v(t).
    1. 4 answers
    2. asked by Patrick
    3. 625 views
42. Let R be the region in the first quadrant under the graph of y=1/sqrt(x) for 4</=x</=9.(a)Find the area of R. I took the
    1. 3 answers
    2. asked by Anonymous
    3. 5,022 views
43. y = *The Integral Of sin(4e^t)dt*a = 0 b = ln(2x) I'm supposed to find the derivative of y with respect to x. Except I just
    1. 1 answer
    2. asked by Sean
    3. 428 views
44. Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Then find the area of the
    1. 0 answers
    2. asked by jimmy
    3. 893 views
45. The indefinite integral, or which call the "antiderivative", of f'(x)=6x-8x^3is f(x) = 3x^2 - 2x^4 + C where C is any constant.
    1. 0 answers
    2. asked by drwls
    3. 695 views