$\mathop \smallint \nolimits_0^{\pi /2} \,\,\frac{{\cos \,\,x}}{{1\,\, + \,\,\sin \,\,x}}\,\,\;dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^{\pi /2} \,\,\frac{{\cos \,\,x}}{{1\,\, + \,\,\sin \,\,x}}\,\,\;dx

is equal to

View answer and explanation

Correct option: A

\log \,\,2

Option A (

\log \,2

) is correct because the definite integral of

\frac{{\cos \,x}}{{1 + \sin \,x}}

from 0 to

\frac{\pi}{2}

\log 2

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