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exp(x)*cos(x)^2*x
Solving integrals/ exp(x)*cos(x)^2*x

You entered:

exp(x)*cos(x)^2*x

What you mean?

exp(x)*cos(x)^2*x
 
exp(x)*cos(x)^(2*x)
 
exp(x)*cos(x)^(2*x)

Integral of exp(x)*cos(x)^2*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
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 |   x    2        
 |  e *cos (x)*x dx
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∫01xexcos⁡2(x) dx\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          
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(10 x−4) ex sin⁡(2 x)+(5 x+3) ex cos⁡(2 x)+(25 x−25) ex50{{\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}}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.901-1
Plot the graph f(x)
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⁡225+1125{{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
−4esin⁡2(1)25+4ecos⁡2(1)25+6esin⁡(1)cos⁡(1)25+1125- \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}
Simplify
Numerical answer [src] 
0.555614499239488
0.555614499239488
The graph
Integral of exp(x)*cos(x)^2*x dx

    Use the examples entering the upper and lower limits of integration.

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