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

Exercise

∫sin⁡43(x) cos⁡4(x)dx\int\sin^43\left(x\right)\:\cos^4\left(x\right)dx

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Final answer to the exercise

18⋅sin⁡(3)4x2+sin⁡(3)4cos⁡(2x)8+14⋅sin⁡(3)4xsin⁡(2x)+sin⁡(3)4cos⁡(4x)128+sin⁡(3)4xsin⁡(4x)32+sin⁡(3)4x216+C0\frac{1}{8}\cdot \sin\left(3\right)^4x^2+\frac{\sin\left(3\right)^4\cos\left(2x\right)}{8}+\frac{1}{4}\cdot \sin\left(3\right)^4x\sin\left(2x\right)+\frac{\sin\left(3\right)^4\cos\left(4x\right)}{128}+\frac{\sin\left(3\right)^4x\sin\left(4x\right)}{32}+\frac{\sin\left(3\right)^4x^2}{16}+C_0

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∫sin43(x) cos4(x)dx
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