Final answer to the problem
$x^2\arccos\left(x\right)-\frac{1}{2}x\sqrt{1-x^2}+\frac{1}{2}\arcsin\left(x\right)+C_0$
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Step-by-step Solution
How should I solve this problem?
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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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1
The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
$2\int x\arccos\left(x\right)dx$
Learn how to solve integral calculus problems step by step online.
$2\int x\arccos\left(x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(arccos(x)2x)dx. The integral of a function times a constant (2) is equal to the constant times the integral of the function. We can solve the integral \int x\arccos\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.
Final answer to the problem
$x^2\arccos\left(x\right)-\frac{1}{2}x\sqrt{1-x^2}+\frac{1}{2}\arcsin\left(x\right)+C_0$
