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

, is

View answer and explanation

Correct option: B

1/\sqrt 2

Option B (

1/\sqrt 2

) is correct because it results from a trigonometric substitution and evaluating the resulting integral.

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