Question
Use table of integrals to evaluate the integral of x^4 sinxdx.
Answers
so, find a table of integrals and look it up. You will probably just find some power reduction formulas, such as
∫ x^n sinx dx = -x^n cosx + n∫ x^(n-1) cosx dx
You can see that you will have to use integration by parts 4 times to get rid of all the x^n terms.
So, you start out with
∫x^4 sinx = -x^4 cosx + 4∫x^3 cosx dx
and plug away from there
∫ x^n sinx dx = -x^n cosx + n∫ x^(n-1) cosx dx
You can see that you will have to use integration by parts 4 times to get rid of all the x^n terms.
So, you start out with
∫x^4 sinx = -x^4 cosx + 4∫x^3 cosx dx
and plug away from there
Related Questions
Express the integrals as the sum of partial fractions and evaluate the integral:
(integral of) (x^2...
Use the Table of Integrals to evaluate the integral (x sine(6x^2)cos(7x^2)dx)
Use the table of integral to evaluate: the integral of x^4 sinxdx. Please indicate the number of for...
Use the Table of Integrals to evaluate the integral.
0 to π ∫cos^6(θ) dθ
I don't see anything like...