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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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Apply integration by parts: $u=arctan(x)$, $v'=1$
Learn how to solve factor problems step by step online.
$x\arctan\left(x\right)-\int\frac{x}{1+x^2}dx$
Learn how to solve factor problems step by step online. Solve the trigonometric integral int(arctan(x))dx. Apply integration by parts: u=arctan(x), v'=1. The integral -\int\frac{x}{1+x^2}dx results in: -\frac{1}{2}\ln\left(1+x^2\right). Gather the results of all integrals. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.