Trogonometric Integral

[tapout1829]

INT sin^2 x cos^5 x dx

u = sinx
du = cos x

INT sin^2 x * cos x (1-sin^2x)^2 dx

INT (sin^2x - 2sin^4x + sin^6x) (cos x) dx

is this right so far im confused after this part

Thanks

 

[royhaas]

Perform the subtitution, integrate the resulting polynomial, and substitute back.

 

[Gene]

One correction.
du = cos(x) dx
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Gene