Integral X^4 sin dx

Question

Integral X^4 sin dx

xapproachesinfinity · Answer

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xapproachesinfinity · Answer

this?

solomonzelman · Answer

you want it in terms of an angle 2x, and this way you will get the answer just with sines, or to reduce to a single x which will make you have cosines as well as sines .

solomonzelman · Answer

$$\large \int\limits_{ }^{ }\sin^m(x)~dx=~-\frac{\cos(x)\sin^{m-1}(x)}{m}+\frac{m+1}{m}\int\limits_{ }^{ } \sin^{m-2}(x)~dx$$

solomonzelman · Answer

that is a reduction formula, but I as a student that only started doing limits (officially) will try to withhold my self from doing this integral.

solomonzelman · Answer

then, apply your identities, after you use this formula.

solomonzelman · Answer

If you do any work, I would prefer to see it. Or at least what you get after using the reduction formula.

xapproachesinfinity · Answer

i can't what integral you are doing @SolomonZelman there is and x^4?

xapproachesinfinity · Answer

see*

solomonzelman · Answer

0hhh, I did sin^4x

solomonzelman · Answer

$$\int\limits_{ }^{ } x^4~\sin(x)~~dx$$  this ?

solomonzelman · Answer

Poster, please reply to the thread.

solomonzelman · Answer

integrate it by parts.

xapproachesinfinity · Answer

i thought it was that one! but you did sin^4x

xapproachesinfinity · Answer

yes! i was thinking about by part

solomonzelman · Answer

yeah, by accident I thought it is sin^4x, sorry.
For the normal one, I am out since no replies are made. bye !