JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int\limits_ {\sqrt{\ln 2}}^{\sqrt{\ln 3}} \frac{x \sin x^2}{\sin x^2+\sin \left(\ln 6-x^2\right)} d x

, is

View answer and explanation

Correct option: A

\frac{1}{4} \ln \frac{3}{2}

Option A (

\frac{1}{4} \ln \frac{3}{2}

) is correct because after substitution and using the property

\int_a^b f(x) dx = \int_a^b f(a+b-x) dx

, the integral simplifies to

\frac{1}{4} \ln \frac{3}{2}

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