Answer to Question #32992 in Integral Calculus for Aaron Okievs

Question

Integrate with respect to x: ∫ x^2 e^3x dx

a. e^3x/3(x^2-2x/3)+c

b. e^3x/3 (x^2-2x/3+2/9)+c - yes* (let me know if this is correct)

c. e^3x/3 (x-2x/3+2/9)+c

d. e^3x/3 (x^2-2x/3+2/7)+c

Answer 1

You're absolutely right, the correct answer is b.
To find this integral you need to perform integration by partial fractions twice.
To learn about integration by partial fractions please watch our video coveting that topic: