The value of the integral $\mathop \smallint \limits_0^1 \,\,\frac{1}{{{{\left( {{x^2} + 1} \right)}^{3/2}}}}\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of the integral

\int \limits_0^1 \,\,\frac{1}{{{{\left( {{x^2} + 1} \right)}^{3/2}}}}\,\,dx

, is

View answer and explanation

Correct option: B

\sqrt 2 /2

Option B (

\sqrt 2 /2

) is correct because the integral is solved using trigonometric substitution and simplification.

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