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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1÷x
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Integral of 1/x(x+1)
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Integral of -4*x*exp(-2*x)
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Integral of 1/cos^2(x)
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Identical expressions
- sh(x)^ two *ch(x)^ three
- sh(x) squared multiply by ch(x) cubed
- sh(x) to the power of two multiply by ch(x) to the power of three
- sh(x)2*ch(x)3
- shx2*chx3
- sh(x)²*ch(x)³
- sh(x) to the power of 2*ch(x) to the power of 3
- sh(x)^2ch(x)^3
- sh(x)2ch(x)3
- shx2chx3
- shx^2chx^3
- sh(x)^2*ch(x)^3dx
Integral of sh(x)^2*ch(x)^3 dx
The solution
You have entered
[src]
1 / | | 2 3 | sinh (x)*cosh (x) dx | / 0
$$\int\limits_{0}^{1} \sinh^{2}{\left(x \right)} \cosh^{3}{\left(x \right)}\, dx$$
Integral(sinh(x)^2*cosh(x)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 5 2 3 | 2 3 2*sinh (x) cosh (x)*sinh (x) | sinh (x)*cosh (x) dx = C - ---------- + ----------------- | 15 3 /
$$\int \sinh^{2}{\left(x \right)} \cosh^{3}{\left(x \right)}\, dx = C - \frac{2 \sinh^{5}{\left(x \right)}}{15} + \frac{\sinh^{3}{\left(x \right)} \cosh^{2}{\left(x \right)}}{3}$$
The graph
The answer
[src]
5 2 3
2*sinh (1) cosh (1)*sinh (1)
- ---------- + -----------------
15 3
$$- \frac{2 \sinh^{5}{\left(1 \right)}}{15} + \frac{\sinh^{3}{\left(1 \right)} \cosh^{2}{\left(1 \right)}}{3}$$
=
=
5 2 3
2*sinh (1) cosh (1)*sinh (1)
- ---------- + -----------------
15 3
$$- \frac{2 \sinh^{5}{\left(1 \right)}}{15} + \frac{\sinh^{3}{\left(1 \right)} \cosh^{2}{\left(1 \right)}}{3}$$
The graph
Use the examples entering the upper and lower limits of integration.