pi -- 4 / | | 4 | sin (x)*x*cos(x) dx | / pi -- 6
Integral((sin(x)^4*x)*cos(x), (x, pi/6, pi/4))
/ | 5 5 4 3 2 | 4 8*cos (x) x*sin (x) sin (x)*cos(x) 4*cos (x)*sin (x) | sin (x)*x*cos(x) dx = C + --------- + --------- + -------------- + ----------------- | 75 5 5 15 /
___ ___ ___ 49*\/ 3 pi 43*\/ 2 pi*\/ 2 - -------- - --- + -------- + -------- 800 960 600 160
=
___ ___ ___ 49*\/ 3 pi 43*\/ 2 pi*\/ 2 - -------- - --- + -------- + -------- 800 960 600 160
-49*sqrt(3)/800 - pi/960 + 43*sqrt(2)/600 + pi*sqrt(2)/160
Use the examples entering the upper and lower limits of integration.