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Integration by parts (view source)
Revision as of 17:17, December 31, 2008
, 17:17, December 31, 2008→Rapid Repeated Integration: various minor edits
So then the integral becomes:
So then the integral becomes:
:<big><math>\int x^4 sin(x)\,dx</math></big> = <big><math>\ -x^4cos(x)-(-4x^3sin(x))+(12x^4cos(x))-(24xsin(x))-(-24cos(x))</math></big>=<big><math>\ -x^4cos(x)+4x^3sin(x)+12x^2cos(x)-24xsin(x)-24cos(x)+c</math></big>
:<big><math>\int x^4 sin(x)\,dx</math></big> = <big><math>\ -x^4cos(x)-(-4x^3sin(x))+(12x^4cos(x))-(24xsin(x))-(-24cos(x))</math>
:</big>=<big><math>\ -x^4cos(x)+4x^3sin(x)+12x^2cos(x)-24xsin(x)-24cos(x)+C</math></big>
== See Also ==
== See Also ==