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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 (x+3)e^x
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Integral of (x(x^2-7))/(x^2+2)dx
- Integral of (x+sinx)/x^(1/3)
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Integral of x*sin(x^2+1)
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Identical expressions
- (nine +x^ two)^ zero , five
- (9 plus x squared ) to the power of 0,5
- (nine plus x to the power of two) to the power of zero , five
- (9+x2)0,5
- 9+x20,5
- (9+x²)^0,5
- (9+x to the power of 2) to the power of 0,5
- 9+x^2^0,5
- (9+x^2)^0,5dx
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Similar expressions
- (9-x^2)^0,5
Integral of (9+x^2)^0,5 dx
The solution
You have entered
[src]
1 / | | ________ | / 2 | \/ 9 + x dx | / 0
$$\int\limits_{0}^{1} \sqrt{x^{2} + 9}\, dx$$
Integral(sqrt(9 + x^2), (x, 0, 1))
Detail solution
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Add the constant of integration:
SqrtQuadraticRule(a=9, b=0, c=1, context=sqrt(x**2 + 9), symbol=x)
The answer is:
The answer (Indefinite)
[src]
/ | /x\ ________ | ________ 9*asinh|-| / 2 | / 2 \3/ x*\/ 9 + x | \/ 9 + x dx = C + ---------- + ------------- | 2 2 /
$${{x\,\sqrt{x^2+9}}\over{2}}+{{9\,{\rm asinh}\; \left({{x}\over{3}}
\right)}\over{2}}$$
The graph
The answer
[src]
____ \/ 10 9*asinh(1/3) ------ + ------------ 2 2
$${{9\,{\rm asinh}\; \left({{1}\over{3}}\right)+\sqrt{10}}\over{2}}$$
=
=
____ \/ 10 9*asinh(1/3) ------ + ------------ 2 2
$$\frac{9 \operatorname{asinh}{\left(\frac{1}{3} \right)}}{2} + \frac{\sqrt{10}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.