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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of e^x/(1+e^x)
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Integral of sin^2(3x)
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Integral of sin(x)/cos(x)
- Integral of |-1+x|
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Identical expressions
- (x+arcsin(x))/sqrt(one -x^ two)
- (x plus arc sinus of (x)) divide by square root of (1 minus x squared )
- (x plus arc sinus of (x)) divide by square root of (one minus x to the power of two)
- (x+arcsin(x))/√(1-x^2)
- (x+arcsin(x))/sqrt(1-x2)
- x+arcsinx/sqrt1-x2
- (x+arcsin(x))/sqrt(1-x²)
- (x+arcsin(x))/sqrt(1-x to the power of 2)
- x+arcsinx/sqrt1-x^2
- (x+arcsin(x)) divide by sqrt(1-x^2)
- (x+arcsin(x))/sqrt(1-x^2)dx
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Similar expressions
- (x+arcsin(x))/sqrt(1+x^2)
- (x-arcsin(x))/sqrt(1-x^2)
- (x+arcsinx)/sqrt(1-x^2)
Integral of (x+arcsin(x))/sqrt(1-x^2) dx
The solution
You have entered
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1 / | | x + asin(x) | ----------- dx | ________ | / 2 | \/ 1 - x | / 0
$$\int\limits_{0}^{1} \frac{x + \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\, dx$$
Integral((x + asin(x))/(sqrt(1 - x^2)), (x, 0, 1))
The answer (Indefinite)
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/ | 2 ________ | x + asin(x) asin (x) / 2 | ----------- dx = C + -------- - \/ 1 - x | ________ 2 | / 2 | \/ 1 - x | /
$$\int \frac{x + \operatorname{asin}{\left(x \right)}}{\sqrt{1 - x^{2}}}\, dx = C - \sqrt{1 - x^{2}} + \frac{\operatorname{asin}^{2}{\left(x \right)}}{2}$$
The graph
The answer
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2
pi
1 + ---
8
$$1 + \frac{\pi^{2}}{8}$$
=
=
2
pi
1 + ---
8
$$1 + \frac{\pi^{2}}{8}$$
The graph
Use the examples entering the upper and lower limits of integration.