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How to use it?
- Integral of d{x}:
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Integral of 1/(2+x^2)
- Integral of x/(x^3-3x+2)
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Integral of -x+4
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Integral of 8/x^2
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Identical expressions
- arcsenx/√(one +x)
- arcsenx divide by √(1 plus x)
- arcsenx divide by √(one plus x)
- arcsenx/√1+x
- arcsenx divide by √(1+x)
- arcsenx/√(1+x)dx
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Similar expressions
- arcsenx/√(1-x)
Integral of arcsenx/√(1+x) dx
The solution
You have entered
[src]
1 / | | asin(x) | --------- dx | _______ | \/ 1 + x | / 0
$$\int\limits_{0}^{1} \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{x + 1}}\, dx$$
Integral(asin(x)/sqrt(1 + x), (x, 0, 1))
The answer (Indefinite)
[src]
_______
\/ 1 + x
/
/ |
| | 2
| asin(x) | u _______
| --------- dx = C - 4* | ------------------ du + 2*\/ 1 + x *asin(x)
| _______ | _______________
| \/ 1 + x | / 2 / 2\
| | \/ -u *\-2 + u /
/ |
/
$$\int \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{x + 1}}\, dx = C + 2 \sqrt{x + 1} \operatorname{asin}{\left(x \right)} - 4 \int\limits^{\sqrt{x + 1}} \frac{u^{2}}{\sqrt{- u^{2} \left(u^{2} - 2\right)}}\, du$$
Use the examples entering the upper and lower limits of integration.