Final answer to the problem
$x\arccos\left(x\right)-\sqrt{1-x^2}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Apply the formula: $\int\arccos\left(\theta \right)dx$$=\theta \arccos\left(\theta \right)-\sqrt{1-\theta ^2}+C$
$x\arccos\left(x\right)-\sqrt{1-x^2}$
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int(arccos(x))dx. Apply the formula: \int\arccos\left(\theta \right)dx=\theta \arccos\left(\theta \right)-\sqrt{1-\theta ^2}+C. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$x\arccos\left(x\right)-\sqrt{1-x^2}+C_0$
