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sin(x)*sin(x)
Solving integrals/ sin(x)*sin(x)

Integral of sin(x)*sin(x) dx

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The graph:

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Piecewise:

The solution

You have entered [src] 
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∫01sin⁡(x)sin⁡(x) dx\int\limits_{0}^{1} \sin{\left(x \right)} \sin{\left(x \right)}\, dx 
Integral(sin(x)*sin(x), (x, 0, 1))
The answer (Indefinite) [src] 
  /                                        
 |                        x   cos(x)*sin(x)
 | sin(x)*sin(x) dx = C + - - -------------
 |                        2         2      
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∫sin⁡(x)sin⁡(x) dx=C+x2−sin⁡(x)cos⁡(x)2\int \sin{\left(x \right)} \sin{\left(x \right)}\, dx = C + \frac{x}{2} - \frac{\sin{\left(x \right)} \cos{\left(x \right)}}{2}
Simplify
The graph
0.001.000.100.200.300.400.500.600.700.800.900.01.0
Plot the graph f(x)
The answer [src] 
1   cos(1)*sin(1)
- - -------------
2         2
−sin⁡(1)cos⁡(1)2+12- \frac{\sin{\left(1 \right)} \cos{\left(1 \right)}}{2} + \frac{1}{2} 
=
= 
1   cos(1)*sin(1)
- - -------------
2         2
−sin⁡(1)cos⁡(1)2+12- \frac{\sin{\left(1 \right)} \cos{\left(1 \right)}}{2} + \frac{1}{2} 
1/2 - cos(1)*sin(1)/2
Numerical answer [src] 
0.27267564329358
0.27267564329358
The graph
Integral of sin(x)*sin(x) dx

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

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