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

Exercise

∫sen4(x2).cos⁡2(x2)dx\int sen^4\left(\frac{x}{2}\right).\cos^2\left(\frac{x}{2}\right)dx

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Final answer to the exercise

−13sin⁡(x2)3cos⁡(x2)3+−3x16+−cos⁡(x2)3sin⁡(x2)4−12sin⁡(x)+x4+C0-\frac{1}{3}\sin\left(\frac{x}{2}\right)^{3}\cos\left(\frac{x}{2}\right)^{3}+\frac{-3x}{16}+\frac{-\cos\left(\frac{x}{2}\right)^{3}\sin\left(\frac{x}{2}\right)}{4}-\frac{1}{2}\sin\left(x\right)+\frac{x}{4}+C_0

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∫sen4(x2 ).cos2(x2 )dx
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