$\mathop \smallint \nolimits_0^{\pi /8} \,\,{\cos ^3}\,\,4\,\,{\rm{\theta }}\,\,d{\rm{\theta }}$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_0^{\pi /8} \,\,{\cos ^3}\,\,4\,\,\mathrm{\theta }\,\,d\mathrm{\theta }

is equal to

View answer and explanation

Correct option: D

\mathrm{1}\,\mathrm{/}\,\mathrm{6}

Option D (

\mathrm{1}\,\mathrm{/}\,\mathrm{6}

) is correct because it is the result of evaluating the definite integral of

{\cos ^3}\,4\,\theta

from 0 to

\pi/8

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