The value of the integral $\smallint \,\,\frac{{x\,\,\sin \,\,{x^2}\,{e^{\sec {x^2}}}}}{{{{\cos }^2}\,\,{x^2}}}\,\,dx$, is

$\frac{1}{2}\,\,{e^{\sin {x^2}}} + \,\,C$

$\frac{1}{2}\,\,\sin \,\,{x^2}\,{e^{{{\cos }^2}{x^2}}} + \,\,C$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Medium

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Application +4 | -1

The value of the integral

\int \,\,\frac{{x\,\,\sin \,\,{x^2}\,{e^{\sec {x^2}}}}}{{{{\cos }^2}\,\,{x^2}}}\,\,dx

, is

View answer and explanation

Correct option: A

\frac{1}{2}\,\,{e^{\sec {x^2}}} + \,\,C

Option A (

\frac{1}{2}\,{e^{\sec {x^2}}} + \,C

) is correct because it is the result of integrating the given expression using substitution.