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Solving integrals/ (cos2x+1)^3sin2xdx

Integral of (cos2x+1)^3sin2xdx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                            
  /                            
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 |                3            
 |  (cos(2*x) + 1) *sin(2*x) dx
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0
$$\int\limits_{0}^{1} \left(\cos{\left(2 x \right)} + 1\right)^{3} \sin{\left(2 x \right)}\, dx$$ 
Integral((cos(2*x) + 1)^3*sin(2*x), (x, 0, 1))
The graph
Plot the graph f(x)
The answer [src] 
          2         3                  4   
15   3*cos (2)   cos (2)   cos(2)   cos (2)
-- - --------- - ------- - ------ - -------
8        4          2        2         8
$$- \frac{3 \cos^{2}{\left(2 \right)}}{4} - \frac{\cos^{4}{\left(2 \right)}}{8} - \frac{\cos^{3}{\left(2 \right)}}{2} - \frac{\cos{\left(2 \right)}}{2} + \frac{15}{8}$$ 
=
= 
          2         3                  4   
15   3*cos (2)   cos (2)   cos(2)   cos (2)
-- - --------- - ------- - ------ - -------
8        4          2        2         8
$$- \frac{3 \cos^{2}{\left(2 \right)}}{4} - \frac{\cos^{4}{\left(2 \right)}}{8} - \frac{\cos^{3}{\left(2 \right)}}{2} - \frac{\cos{\left(2 \right)}}{2} + \frac{15}{8}$$ 
15/8 - 3*cos(2)^2/4 - cos(2)^3/2 - cos(2)/2 - cos(2)^4/8
Numerical answer [src] 
1.98547471830354
1.98547471830354

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

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