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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 (-1)/x^2
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Integral of x⁴
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Integral of 2e^x
- Integral of e^(x/y)
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Identical expressions
- e^(3x)(cosx)^ two
- e to the power of (3x)( co sinus of e of x) squared
- e to the power of (3x)( co sinus of e of x) to the power of two
- e(3x)(cosx)2
- e3xcosx2
- e^(3x)(cosx)²
- e to the power of (3x)(cosx) to the power of 2
- e^3xcosx^2
- e^(3x)(cosx)^2dx
Integral of e^(3x)(cosx)^2 dx
The solution
You have entered
[src]
1 / | | 3*x 2 | e *cos (x) dx | / 0
$$\int\limits_{0}^{1} e^{3 x} \cos^{2}{\left(x \right)}\, dx$$
Integral(E^(3*x)*cos(x)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2 3*x 2 3*x 3*x | 3*x 2 2*sin (x)*e 11*cos (x)*e 2*cos(x)*e *sin(x) | e *cos (x) dx = C + -------------- + --------------- + -------------------- | 39 39 13 /
$${{6\,e^{3\,x}\,\sin \left(2\,x\right)+9\,e^{3\,x}\,\cos \left(2\,x
\right)+13\,e^{3\,x}}\over{78}}$$
The graph
The answer
[src]
2 3 2 3 3 11 2*sin (1)*e 11*cos (1)*e 2*cos(1)*e *sin(1) - -- + ------------ + ------------- + ------------------ 39 39 39 13
$${{6\,e^3\,\sin 2+9\,e^3\,\cos 2+13\,e^3}\over{78}}-{{11}\over{39}}$$
=
=
2 3 2 3 3 11 2*sin (1)*e 11*cos (1)*e 2*cos(1)*e *sin(1) - -- + ------------ + ------------- + ------------------ 39 39 39 13
$$- \frac{11}{39} + \frac{2 e^{3} \sin^{2}{\left(1 \right)}}{39} + \frac{2 e^{3} \sin{\left(1 \right)} \cos{\left(1 \right)}}{13} + \frac{11 e^{3} \cos^{2}{\left(1 \right)}}{39}$$
The graph
Use the examples entering the upper and lower limits of integration.