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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the fraction $\frac{x\arctan\left(x\right)}{\sqrt{\left(1+x^2\right)^{3}}}$ inside the integral as the product of two functions: $\frac{x}{\sqrt{\left(1+x^2\right)^{3}}}\arctan\left(x\right)$
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$\int\frac{x}{\sqrt{\left(1+x^2\right)^{3}}}\arctan\left(x\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (xarctan(x))/((1+x^2)^(3/2)) from 0 to infinity. Rewrite the fraction \frac{x\arctan\left(x\right)}{\sqrt{\left(1+x^2\right)^{3}}} inside the integral as the product of two functions: \frac{x}{\sqrt{\left(1+x^2\right)^{3}}}\arctan\left(x\right). We can solve the integral \int\frac{x}{\sqrt{\left(1+x^2\right)^{3}}}\arctan\left(x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.
