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- Improper integral
- Double Integral
- Triple Integral
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- Derivative Step by Step
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How to use it?
- Integral of d{x}:
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Integral of sin(x)*dx/x
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Integral of 1/sqrt(x^2+1)
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Integral of x^3*ln(x)
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Integral of x*ln(x+1)dx
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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(2*x)*sin(6*x) dx
The solution
You have entered
[src]
1 / | | sin(2*x)*sin(6*x) dx | / 0
$$\int\limits_{0}^{1} \sin{\left(2 x \right)} \sin{\left(6 x \right)}\, dx$$
Integral(sin(2*x)*sin(6*x), (x, 0, 1))
The graph
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
Use the examples entering the upper and lower limits of integration.