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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of cosh^2(x)
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Integral of sqrt(5x)
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Integral of sinxcos^5x
- Integral of sin^4xcosxdx
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Identical expressions
- cosh^ two (x)
- hyperbolic co sinus of e of ine of squared (x)
- hyperbolic co sinus of e of ine of to the power of two (x)
- cosh2(x)
- cosh2x
- cosh²(x)
- cosh to the power of 2(x)
- cosh^2x
- cosh^2(x)dx
Integral of cosh^2(x) dx
The solution
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[src]
1 / | | 2 | cosh (x) dx | / 0
$$\int\limits_{0}^{1} \cosh^{2}{\left(x \right)}\, dx$$
Integral(cosh(x)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2 2 | 2 x*cosh (x) cosh(x)*sinh(x) x*sinh (x) | cosh (x) dx = C + ---------- + --------------- - ---------- | 2 2 2 /
$${{{{e^{2\,x}}\over{2}}-{{e^ {- 2\,x }}\over{2}}+2\,x}\over{4}}$$
The graph
The answer
[src]
2 2 cosh (1) sinh (1) cosh(1)*sinh(1) -------- - -------- + --------------- 2 2 2
$${{e^ {- 2 }\,\left(e^4+4\,e^2-1\right)}\over{8}}$$
=
=
2 2 cosh (1) sinh (1) cosh(1)*sinh(1) -------- - -------- + --------------- 2 2 2
$$- \frac{\sinh^{2}{\left(1 \right)}}{2} + \frac{\sinh{\left(1 \right)} \cosh{\left(1 \right)}}{2} + \frac{\cosh^{2}{\left(1 \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.