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Integral of 2xsinx^2dx dx

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$$\int\limits_{0}^{1} 2 x \sin^{2}{\left(x \right)}\, dx$$

Integral((2*x)*sin(x)^2, (x, 0, 1))

The graph

Plot the graph f(x)

The answer [src]

             2                   
   2      cos (1)                
sin (1) + ------- - cos(1)*sin(1)
             2

$$- \sin{\left(1 \right)} \cos{\left(1 \right)} + \frac{\cos^{2}{\left(1 \right)}}{2} + \sin^{2}{\left(1 \right)}$$

             2                   
   2      cos (1)                
sin (1) + ------- - cos(1)*sin(1)
             2

$$- \sin{\left(1 \right)} \cos{\left(1 \right)} + \frac{\cos^{2}{\left(1 \right)}}{2} + \sin^{2}{\left(1 \right)}$$

sin(1)^2 + cos(1)^2/2 - cos(1)*sin(1)

Numerical answer [src]

0.399387995723945

0.399387995723945

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

Integral of 2x*sinx^2*dx dx