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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sinxcos2x
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Integral of (x^3+3x^2+x+2)/((x^2+x-2)(x+2))
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Integral of x^2/x^2
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Integral of x²sin(2x)
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Identical expressions
- x^ two *sh(x)
- x squared multiply by sh(x)
- x to the power of two multiply by sh(x)
- x2*sh(x)
- x2*shx
- x²*sh(x)
- x to the power of 2*sh(x)
- x^2sh(x)
- x2sh(x)
- x2shx
- x^2shx
- x^2*sh(x)dx
Integral of x^2*sh(x) dx
The solution
You have entered
[src]
1 / | | 2 | x *sinh(x) dx | / 0
$$\int\limits_{0}^{1} x^{2} \sinh{\left(x \right)}\, dx$$
Integral(x^2*sinh(x), (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2 2 | x *sinh(x) dx = C + 2*cosh(x) + x *cosh(x) - 2*x*sinh(x) | /
$${{x^3\,\sinh x}\over{3}}-{{\left(x^3-3\,x^2+6\,x-6\right)\,e^{x}+
\left(-x^3-3\,x^2-6\,x-6\right)\,e^ {- x }}\over{6}}$$
The graph
The answer
[src]
-2 - 2*sinh(1) + 3*cosh(1)
$${{e^ {- 1 }\,\left(e\,\sinh 1+e^2+8\right)}\over{3}}-2$$
=
=
-2 - 2*sinh(1) + 3*cosh(1)
$$- 2 \sinh{\left(1 \right)} - 2 + 3 \cosh{\left(1 \right)}$$
The graph
Use the examples entering the upper and lower limits of integration.