Final answer to the problem
$x\arcsin\left(x\right)+\sqrt{1-x^2}+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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1
Apply the formula: $\int\arcsin\left(\theta \right)dx$$=\theta \arcsin\left(\theta \right)+\sqrt{1-\theta ^2}+C$
$x\arcsin\left(x\right)+\sqrt{1-x^2}$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$x\arcsin\left(x\right)+\sqrt{1-x^2}+C_0$
Final answer to the problem
$x\arcsin\left(x\right)+\sqrt{1-x^2}+C_0$