Mister Exam
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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 sinh^2(x)
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Integral of x^2-8x+16
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Integral of 3z^2
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Integral of sqrt(7x+9)
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Identical expressions
- sinh^ two (x)
- hyperbolic sinus of e of squared (x)
- hyperbolic sinus of e of to the power of two (x)
- sinh2(x)
- sinh2x
- sinh²(x)
- sinh to the power of 2(x)
- sinh^2x
- sinh^2(x)dx
Integral of sinh^2(x) dx
The solution
You have entered
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1 / | | 2 | sinh (x) dx | / 0
$$\int\limits_{0}^{1} \sinh^{2}{\left(x \right)}\, dx$$
The answer (Indefinite)
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/ | 2 2 | 2 x*sinh (x) cosh(x)*sinh(x) x*cosh (x) | sinh (x) dx = C + ---------- + --------------- - ---------- | 2 2 2 /
$${{{{e^{2\,x}}\over{2}}-{{e^ {- 2\,x }}\over{2}}-2\,x}\over{4}}$$
The graph
The answer
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2 2 sinh (1) cosh (1) cosh(1)*sinh(1) -------- - -------- + --------------- 2 2 2
$${{e^ {- 2 }\,\left(e^4-4\,e^2-1\right)}\over{8}}$$
=
=
2 2 sinh (1) cosh (1) cosh(1)*sinh(1) -------- - -------- + --------------- 2 2 2
$$- \frac{\cosh^{2}{\left(1 \right)}}{2} + \frac{\sinh^{2}{\left(1 \right)}}{2} + \frac{\sinh{\left(1 \right)} \cosh{\left(1 \right)}}{2}$$
The graph
Use the examples entering the upper and lower limits of integration.