Engineering Board Exam Reviewer · Integration by Substitution · easy

Evaluate: esqrt(x)sqrt(x),dx

1. esqrt(x)+C
2. esqrt(x)2+C
3. 2 sqrt(x) esqrt(x)+C
4. 2 esqrt(x)+C

Answer

D. 2 esqrt(x)+C

Solution

Let u=sqrt(x), du= dx2sqrt(x), so dxsqrt(x)=2,du. Then 2eu,du=2esqrt(x)+C.

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