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f(x)=(7x^2)/((121+x^2)^2)−6−5−4−3−2−10123456−3-2.5−2-1.5−1-0.500.511.522.53xy

Exercise

∫7x2(121+x2)2dx\int\frac{7x^2}{\left(121+x^2\right)^2}dx

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Final answer to the exercise

(7)3⋅1847arctan⁡(1121x2)+−(7)38471694arctan⁡(1121x2)+−492x7x2+847+C0\sqrt{\left(7\right)^{3}}\cdot \frac{1}{\sqrt{847}}\arctan\left(\sqrt{\frac{1}{121}x^2}\right)+\frac{-\sqrt{\left(7\right)^{3}}\sqrt{847}}{1694}\arctan\left(\sqrt{\frac{1}{121}x^2}\right)+\frac{-\frac{49}{2}x}{7x^2+847}+C_0

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∫7x2(121+x2)2 dx
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