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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 -4*x*exp(-2*x)
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Integral of √(1+x²)
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Integral of 1/(2*x)
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Integral of 1/(sqrt(1+x^2))
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Identical expressions
- exp(x)*cos(x)^ two *x
- exponent of (x) multiply by co sinus of e of (x) squared multiply by x
- exponent of (x) multiply by co sinus of e of (x) to the power of two multiply by x
- exp(x)*cos(x)2*x
- expx*cosx2*x
- exp(x)*cos(x)²*x
- exp(x)*cos(x) to the power of 2*x
- exp(x)cos(x)^2x
- exp(x)cos(x)2x
- expxcosx2x
- expxcosx^2x
- exp(x)*cos(x)^2*xdx
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Similar expressions
- exp(x)*cosx^2*x
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What you mean?
- exp(x)*cos(x)^2*x
- exp(x)*cos(x)^(2*x)
- exp(x)*cos(x)^(2*x)
You entered:
exp(x)*cos(x)^2*x
What you mean?
Integral of exp(x)*cos(x)^2*x dx
The solution
You have entered
[src]
1 / | | x 2 | e *cos (x)*x dx | / 0
$$\int\limits_{0}^{1} x e^{x} \cos^{2}{\left(x \right)}\, dx$$
Integral(exp(x)*cos(x)^2*x, (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2 x 2 x x 2 x 2 x x | x 2 14*sin (x)*e 11*cos (x)*e 4*cos(x)*e *sin(x) 2*x*sin (x)*e 3*x*cos (x)*e 2*x*cos(x)*e *sin(x) | e *cos (x)*x dx = C - ------------- - ------------- - ------------------ + -------------- + -------------- + -------------------- | 25 25 25 5 5 5 /
$${{\left(10\,x-4\right)\,e^{x}\,\sin \left(2\,x\right)+\left(5\,x+3
\right)\,e^{x}\,\cos \left(2\,x\right)+\left(25\,x-25\right)\,e^{x}
}\over{50}}$$
The graph
The answer
[src]
2 2 11 4*e*sin (1) 4*e*cos (1) 6*e*cos(1)*sin(1) -- - ----------- + ----------- + ----------------- 25 25 25 25
$${{3\,e\,\sin 2+4\,e\,\cos 2}\over{25}}+{{11}\over{25}}$$
=
=
2 2 11 4*e*sin (1) 4*e*cos (1) 6*e*cos(1)*sin(1) -- - ----------- + ----------- + ----------------- 25 25 25 25
$$- \frac{4 e \sin^{2}{\left(1 \right)}}{25} + \frac{4 e \cos^{2}{\left(1 \right)}}{25} + \frac{6 e \sin{\left(1 \right)} \cos{\left(1 \right)}}{25} + \frac{11}{25}$$
The graph
Use the examples entering the upper and lower limits of integration.