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Finding Integrals

17. Find the antiderivative of (x^2)(1 + x^3)^5 .

(1 + x^2) (1 + 9x^3)^5 + C
(1/18)(1 + x^3)^6 + C
(1/18)x(1 + x^3)^6 + C
(1/18)x2(1 + x^3)^6 + C
none of these

19. ∫ (6e^3/x)x^-2 dx =

2e^-3/x + C
-2e^3/x + C
(-1/2)e^3/x + C
-2e^3/x + C
none of these

Solution Preview

Observe the integrand (x^2)(1 + x^3)^5
Numerator consists of a term that can be written as the derivative of the denominator.
Let (1 + x^3)=t
This ...

Solution Summary

Integrals are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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