Engineering Board Exam Reviewer · Integration by Substitution · easy

Evaluate: ≤ft( x )3x,dx (assume x>0)

1. ≤ft( x )44+C
2. ≤ft( x )4+C
3. ≤ft( x )43+C
4. 3 ≤ft( x )22+C

Answer

A. ≤ft( x )44+C

Solution

Let u= x, du=dx/x. Then u3,du=u4/4+C=( x)4/4+C.

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