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(cos2x+sin3x)cosx
Solving integrals/ (cos2x+sin3x)cosx

Integral of (cos2x+sin3x)cosx dx

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The graph:

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The solution

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 |  (cos(2*x) + sin(3*x))*cos(x) dx
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$$\int\limits_{0}^{1} \left(\sin{\left(3 x \right)} + \cos{\left(2 x \right)}\right) \cos{\left(x \right)}\, dx$$ 
Integral((cos(2*x) + sin(3*x))*cos(x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
3   3*cos(1)*cos(3)   cos(2)*sin(1)   sin(1)*sin(3)   2*cos(1)*sin(2)
- - --------------- - ------------- - ------------- + ---------------
8          8                3               8                3
$$- \frac{\sin{\left(1 \right)} \sin{\left(3 \right)}}{8} - \frac{\sin{\left(1 \right)} \cos{\left(2 \right)}}{3} - \frac{3 \cos{\left(1 \right)} \cos{\left(3 \right)}}{8} + \frac{2 \sin{\left(2 \right)} \cos{\left(1 \right)}}{3} + \frac{3}{8}$$ 
=
= 
3   3*cos(1)*cos(3)   cos(2)*sin(1)   sin(1)*sin(3)   2*cos(1)*sin(2)
- - --------------- - ------------- - ------------- + ---------------
8          8                3               8                3
$$- \frac{\sin{\left(1 \right)} \sin{\left(3 \right)}}{8} - \frac{\sin{\left(1 \right)} \cos{\left(2 \right)}}{3} - \frac{3 \cos{\left(1 \right)} \cos{\left(3 \right)}}{8} + \frac{2 \sin{\left(2 \right)} \cos{\left(1 \right)}}{3} + \frac{3}{8}$$ 
3/8 - 3*cos(1)*cos(3)/8 - cos(2)*sin(1)/3 - sin(1)*sin(3)/8 + 2*cos(1)*sin(2)/3
Numerical answer [src] 
1.004997655492
1.004997655492
The graph
Integral of (cos2x+sin3x)cosx dx

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

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