Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of y^(-2/3)
- Integral of x^(-x)
-
Integral of x*sin(x)^2
-
Integral of x^2/(1-x^4)
-
Identical expressions
- (arcsinx)/((x+ one)^(one / two))
- (arc sinus of x) divide by ((x plus 1) to the power of (1 divide by 2))
- (arc sinus of x) divide by ((x plus one) to the power of (one divide by two))
- (arcsinx)/((x+1)(1/2))
- arcsinx/x+11/2
- arcsinx/x+1^1/2
- (arcsinx) divide by ((x+1)^(1 divide by 2))
- (arcsinx)/((x+1)^(1/2))dx
-
Similar expressions
- (arcsinx)/((x-1)^(1/2))
Integral of (arcsinx)/((x+1)^(1/2)) dx
The solution
You have entered
[src]
1 / | | asin(x) | --------- dx | _______ | \/ x + 1 | / 0
$$\int\limits_{0}^{1} \frac{\operatorname{asin}{\left(x \right)}}{\sqrt{x + 1}}\, dx$$
Integral(asin(x)/sqrt(x + 1), (x, 0, 1))
The answer (Indefinite)
[src]
_______
\/ 1 + x
/
/ |
| | 2
| asin(x) | u _______
| --------- dx = C - 4* | ------------------ du + 2*\/ 1 + x *asin(x)
| _______ | _______________
| \/ x + 1 | / 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.