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- Integrate by partial fractions
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Expand the fraction $\frac{x-\arcsin\left(ax\right)}{\sqrt{1-a^2x^2}}$ into $2$ simpler fractions with common denominator $\sqrt{1-a^2x^2}$
Learn how to solve integrals with radicals problems step by step online.
$\int\left(\frac{x}{\sqrt{1-a^2x^2}}+\frac{-\arcsin\left(ax\right)}{\sqrt{1-a^2x^2}}\right)dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int((x-arcsin(ax))/((1-a^2x^2)^(1/2)))dx. Expand the fraction \frac{x-\arcsin\left(ax\right)}{\sqrt{1-a^2x^2}} into 2 simpler fractions with common denominator \sqrt{1-a^2x^2}. Simplify the expression. The integral \int\frac{x}{\sqrt{1-a^2x^2}}dx results in: \frac{-\sqrt{1-a^2x^2}}{a^2}. The integral -\int\frac{\arcsin\left(ax\right)}{\sqrt{1-a^2x^2}}dx results in: \frac{-\arcsin\left(ax\right)^2}{2a}.
