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Solve the following.
Evaluate: ∫ 5/(√(2x+7)) dx
Evaluate: $\int \frac{5}{\sqrt{2x+7}}\,dx$
Answer
Answer
Integral: $\int \left(5/sqrt(2x+7)\right) dx$
$\int 5(2x+7)^{-1/2}dx=5\cdot\frac{(2x+7)^{1/2}}{\frac12\cdot 2}+C$
Final answer: $5\sqrt{2x+7}+C$