\int\sqrt{e^{x}-1} d x(x>0)=

Correct Answer is : 2√ex−1−2tan−1√ex−1+c

2 \sqrt{e^{x}-1}-\tan ^{-1} \sqrt{e^{x}-1}+c

2 \sqrt{e^{x}-1}+\tan ^{-1} \sqrt{e^{x}-1}+c

2\sqrt{e^{x}-1}+2 \tan ^{-1} \sqrt{e^{x}-1}+c

2 \sqrt{e^{x}-1}-2 \tan ^{-1} \sqrt{e^{x}-1}+c

AP and TS EAMCET Engineering Model Paper 2

Question : 52 of 160

Marks: +1, -0

∫√ex−1dx(x>0)=

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