For x^2 \neq n\pi + 1 , n ∊ N(the set of natural numbers) . the integral \int x \sqrt{ {2 \sin (x^{2}-1)-\sin 2(x^{2}-1)}/{2 \sin (x^{2}-1)+\sin 2(x^{2}-1)}} d x is equal to : (where c is a constant of integration) [9-Jan-2019 Shift 1]

Correct Answer is : loge|sec(x2−12)| + c

1/2 \log_e |\sec({x^2-1}/2)| + c

JEE Main 9 Jan 2019 Shift 1 Solved Paper

Section: Mathematics

Question : 33 of 90

Marks: +1, -0

For x2≠nπ+1,n∊N(the set of natural numbers) . the integral

∫x√‌

2‌sin(x2−1)−sin‌2(x2−1)

2‌sin(x2−1)+sin‌2(x2−1)

is equal to :
(where c is a constant of integration)

[9-Jan-2019 Shift 1]

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