Engineering Board Exam Reviewer · Integration by Substitution · medium

Evaluate: xsqrt(x2+9),dx

1. 13(x2+9)3/2+C
2. 23(x2+9)3/2+C
3. 13(x2+9)1/2+C
4. (x2+9)3/2+C

Answer

A. 13(x2+9)3/2+C

Solution

Let u=x2+9, du=2x,dx. 12 u,du= 12· 23u3/2+C= 13(x2+9)3/2+C.

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