Question

integral of x^4 sin(x^5+6) dx is equal to
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Answer 1

Answer:

Here is your answer mate.

Step-by-step explanation:

You need to integrate by parts repeatedly, to reduce the degree of x:

∫x4sinxdx=∫x4ddx(−cosx)dx

∫x4sinxdx=−x4cosx+4∫x3cosxdx

∫x4sinxdx=−x4cosx+4∫x3ddx(sinx)dx

∫x4sinxdx=−x4cosx+4x3sinx−12∫x2sinxdx

∫x4sinxdx=−x4cosx+4x3sinx+12x2cosx−24∫xcosxdx

∫x4sinxdx=