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Questions  >>  CBSE XII  >>  Math  >>  Integrals
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Q)

Evaluate the following $\displaystyle\int \large \frac{( x)}{\sqrt x+1}$$dx \quad(Hint:Put\;\sqrt x=z)$

$\begin{array}{1 1} (A) \; 2 \bigg[\large\frac{x \sqrt x}{3}-\frac{x}{2}-\sqrt x-log |\sqrt x+1|\bigg]+c \\ (B) \;2 \bigg[\large\frac{x \sqrt x}{3}+\frac{x}{2}+\sqrt x-log |\sqrt x+1|\bigg]+c \\ (C) \; 2 \bigg[\large\frac{x \sqrt x}{3}-\frac{x}{2}+\sqrt x+log |\sqrt x+1|\bigg]+c \\ (D)\;2 \bigg[\large\frac{x \sqrt x}{3}-\frac{x}{2}+\sqrt x-log |\sqrt x+1|\bigg]+c \end{array} $

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