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f(x)=5sin(2x)^9cos(2x)^3−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫5sin9(2x)cos3(2x)dx\int5sin^9\left(2x\right)cos^3\left(2x\right)dx

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Final answer to the exercise

−5sin⁡(2x)8cos⁡(2x)424+−cos⁡(2x)424+−sin⁡(2x)2cos⁡(2x)412+−sin⁡(2x)4cos⁡(2x)48−16sin⁡(2x)6cos⁡(2x)4+C0\frac{-5\sin\left(2x\right)^{8}\cos\left(2x\right)^{4}}{24}+\frac{-\cos\left(2x\right)^{4}}{24}+\frac{-\sin\left(2x\right)^{2}\cos\left(2x\right)^{4}}{12}+\frac{-\sin\left(2x\right)^{4}\cos\left(2x\right)^{4}}{8}-\frac{1}{6}\sin\left(2x\right)^{6}\cos\left(2x\right)^{4}+C_0

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∫5sin9(2x)cos3(2x)dx
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