Engineering Board Exam Reviewer · Integration by Parts · easy

Evaluate: x3 x,dx (assume x>0)

1. x4 x4 - x44+C
2. x4 x4 - x416+C
3. x4 x4 + x416+C
4. x4 x - x44+C

Answer

B. x4 x4 - x416+C

Solution

Let u= x, dv=x3dx: x3 x,dx=x4/4 x- 3/4,dx=x4/4 x-x4/16+C.

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