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f(x)=(5x^2)/((x^2+7)^2)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫(5x2)(x2+7)2dx\int\frac{\left(5x^2\right)}{\left(x^2+7\right)^2}dx

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Final answer to the exercise

(5)3⋅135arctan⁡(17x2)+−(5)33570arctan⁡(17x2)+−252x5x2+35+C0\sqrt{\left(5\right)^{3}}\cdot \frac{1}{\sqrt{35}}\arctan\left(\sqrt{\frac{1}{7}x^2}\right)+\frac{-\sqrt{\left(5\right)^{3}}\sqrt{35}}{70}\arctan\left(\sqrt{\frac{1}{7}x^2}\right)+\frac{-\frac{25}{2}x}{5x^2+35}+C_0

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∫(5x2)(x2+7)2 dx
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