Asked by Hy'le

Evaluate the following integrals. Show all the steps in your calculation.

a. ç_0^2(3x^3 - x^2 + 2)dx

b. ç_0^1(e^2x - x^2)dx

c. ç1/(x+3)dx
Answered by Hy'le
Evaluate the following integrals. Show all the steps in your calculation.

a. ç_0^2(3x^3 - x^2 + 2)dx

b. ç_0^1(e^2x - x^2)dx

c. ç1/(x+3)dx
Answered by Steve
a. This just a simple power rule:
∫x^n dx = 1/(n+1) x^(n+1)

b. same here, also
∫e^u du = e^u
Let u=2x so du = 2 dx

c. Recall that ∫ 1/u du = ln(u)
Let u = x+3

Don't forget the +C on indefinite integrals
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