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JEE Advanced Model Paper 7 with solutions for online practice

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Passage-3

If f(x) is differentiable then ∫ ex (f(x) + f'(x)) dx = ex f(x) + c . Using this result answer thefollowing

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Question : 36

Total: 66

∫

[sec−1√1+x2 + cos−1(

)] dx =

etan−1x(tan−1x)2 + c
etan−1x(cot−1x)2 + c
etan−1x(sin−1x)2 + c
etan−1x(cos−1x)2 + c

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