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Identical expressions
sin(two *x)*sin(six *x)
sinus of (2 multiply by x) multiply by sinus of (6 multiply by x)
sinus of (two multiply by x) multiply by sinus of (six multiply by x)
sin(2x)sin(6x)
sin2xsin6x
sin(2*x)*sin(6*x)dx

Integral of sin(2x)sin(6*x) dx

The solution

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\int\limits_{0}^{1} \sin{\left(2 x \right)} \sin{\left(6 x \right)}\, dx

Integral(sin(2*x)*sin(6*x), (x, 0, 1))

The graph

Plot the graph f(x)

The answer [src]

  3*cos(6)*sin(2)   cos(2)*sin(6)
- --------------- + -------------
         16               16

- \frac{3 \sin{\left(2 \right)} \cos{\left(6 \right)}}{16} + \frac{\sin{\left(6 \right)} \cos{\left(2 \right)}}{16}

  3*cos(6)*sin(2)   cos(2)*sin(6)
- --------------- + -------------
         16               16

- \frac{3 \sin{\left(2 \right)} \cos{\left(6 \right)}}{16} + \frac{\sin{\left(6 \right)} \cos{\left(2 \right)}}{16}

-3*cos(6)*sin(2)/16 + cos(2)*sin(6)/16

Numerical answer [src]

-0.156435202327452

-0.156435202327452

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

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Identical expressions

Integral of sin(2x)sin(6*x) dx

Limits of integration:

The graph:

Piecewise:

The solution

Other calculators

How to use it?

Identical expressions

Integral of sin(2*x)*sin(6*x) dx

Limits of integration:

The graph:

Piecewise:

The solution

Integral of sin(2x)sin(6*x) dx