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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of sin(x)*dx/x
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Integral of 1/sqrt(x^2+1)
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Integral of x^3*ln(x)
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Integral of x*ln(x+1)dx
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Identical expressions
- cosh(2x)sin(4x)
- hyperbolic co sinus of e of ine of (2x) sinus of (4x)
- cosh2xsin4x
- cosh(2x)sin(4x)dx
Integral of cosh(2x)sin(4x) dx
The solution
You have entered
[src]
1 / | | cosh(2*x)*sin(4*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(4 x \right)} \cosh{\left(2 x \right)}\, dx$$
Integral(cosh(2*x)*sin(4*x), (x, 0, 1))
The answer (Indefinite)
[src]
/ | cos(4*x)*cosh(2*x) sin(4*x)*sinh(2*x) | cosh(2*x)*sin(4*x) dx = C - ------------------ + ------------------ | 5 10 /
$${{e^ {- 2\,x }\,\left(\left(e^{4\,x}-1\right)\,\sin \left(4\,x
\right)+\left(-2\,e^{4\,x}-2\right)\,\cos \left(4\,x\right)\right)
}\over{20}}$$
The graph
The answer
[src]
1 cos(4)*cosh(2) sin(4)*sinh(2) - - -------------- + -------------- 5 5 10
$${{e^ {- 2 }\,\left(\left(e^4-1\right)\,\sin 4+\left(-2\,e^4-2
\right)\,\cos 4\right)}\over{20}}+{{1}\over{5}}$$
=
=
1 cos(4)*cosh(2) sin(4)*sinh(2) - - -------------- + -------------- 5 5 10
$$\frac{\sin{\left(4 \right)} \sinh{\left(2 \right)}}{10} + \frac{1}{5} - \frac{\cos{\left(4 \right)} \cosh{\left(2 \right)}}{5}$$
The graph
Use the examples entering the upper and lower limits of integration.