Engineering Mathematics Calculus Definite Integrals

The value of \(\mathop \smallint \limits_0^{\frac{{\rm{\pi }}}{6}} {\cos ^4}3{\rm{\theta }}{\sin ^3}6{\rm{\theta \;d\theta }}\) is

1

0

2

\(\frac{1}{{15}}\)

3

1

4

\(\frac{8}{3}\)

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