Calculate
\int sin^(4)(5x)dx
\int 2sin^(4)xcos^(2)xdx
.Let
I=\int_0^((\pi )/(6)) tan^(8)(x)sec(x)dx.
Express the value of
\int_0^((\pi )/(6)) tan^(10)(x)sec(x)dx
in terms of
I
.
\int_0^((\pi )/(6)) tan^(10)(x)sec(x)dx=