JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The solution for

x

of the equation

\int\limits_ {\sqrt{2}}^x \frac{1}{t \sqrt{t^2-1}} d t=\frac{\pi}{2},

View answer and explanation

Correct option: D

-\sqrt{2}

The correct answer is -

\sqrt{2}

. The integral is solved using the inverse secant function, and solving for x gives -

\sqrt{2}

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