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f(x)=sin(x)^6cos(x)^3−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫sin⁡(x)6cos⁡(x)3dx\int\sin\left(x\right)^6\cos\left(x\right)^3dx

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Final answer to the exercise

−sin⁡(x)5cos⁡(x)49+163cos⁡(x)2sin⁡(x)+263sin⁡(x)−121cos⁡(x)4sin⁡(x)+−5sin⁡(x)3cos⁡(x)463+C0\frac{-\sin\left(x\right)^{5}\cos\left(x\right)^{4}}{9}+\frac{1}{63}\cos\left(x\right)^{2}\sin\left(x\right)+\frac{2}{63}\sin\left(x\right)-\frac{1}{21}\cos\left(x\right)^{4}\sin\left(x\right)+\frac{-5\sin\left(x\right)^{3}\cos\left(x\right)^{4}}{63}+C_0

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∫sin(x)6cos(x)3dx
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