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Solving: ∫cos⁡(x)5(2+sin⁡(x))dx\int\cos\left(x\right)^5\left(2+\sin\left(x\right)\right)dx
Solve instead: ∫cos⁡(2+sin⁡(x))5dx\int\cos\left(2+\sin\left(x\right)\right)^5dx
f(x)=cos(x)^5(2+sin(x))−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫cos⁡(2+sin⁡(x))5dx\int\cos\left(2+\sin\left(x\right)\right)^5dx

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Final answer to the exercise

1615sin⁡(x)+8cos⁡(x)2sin⁡(x)15+2cos⁡(x)4sin⁡(x)5+−cos⁡(x)66+C0\frac{16}{15}\sin\left(x\right)+\frac{8\cos\left(x\right)^{2}\sin\left(x\right)}{15}+\frac{2\cos\left(x\right)^{4}\sin\left(x\right)}{5}+\frac{-\cos\left(x\right)^{6}}{6}+C_0

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∫cos(2+sin(x))5dx
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