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

Exercise

∫sin⁡5(x3)cos⁡5(x3)dx\int\sin^5\left(\frac{x}{3}\right)\cos^5\left(\frac{x}{3}\right)dx

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Final answer to the exercise

−3sin⁡(x3)4cos⁡(x3)610−120cos⁡(x3)6−320sin⁡(x3)2cos⁡(x3)6+C0\frac{-3\sin\left(\frac{x}{3}\right)^{4}\cos\left(\frac{x}{3}\right)^{6}}{10}-\frac{1}{20}\cos\left(\frac{x}{3}\right)^{6}-\frac{3}{20}\sin\left(\frac{x}{3}\right)^{2}\cos\left(\frac{x}{3}\right)^{6}+C_0

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∫sin5(x3 )cos5(x3 )dx
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