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Single Variable Calculus

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Difficult

Indefinite Integral of a Ratio of Functions with a Square Root

SVCALC-YAGCMH

Find $\int \frac{2x^2+5\sqrt{x}+1}{x} \ dx$.

A

$2x+\frac{5}{\sqrt{x}}+\frac{1}{x} + C$

B

$2-\frac{5}{2x^{3/2}}-\frac{1}{x^2}+C$

C

$\frac{4x^3+20x^{3/2}+6}{3x^2} + C$

D

$x^2+10\sqrt{x}+\ln|x|+C$