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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 : 35

Total: 66

∫ ex

(1−x)√1−x2

dx =

ex√
1−x
1+x

1
(1−x)2
+ k
ex√
1+x
1−x
+ k
ex√
1−x
1+x
+ k
−ex√
1−x
1+x
+ k

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