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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of e^x/x^2
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Integral of sin²xcos²x
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Integral of z
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Integral of 3^(2*x)
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Identical expressions
- ((a+x)*sin(3x)*sin(x)+ two *cos(3x))*sin(x)
- ((a plus x) multiply by sinus of (3x) multiply by sinus of (x) plus 2 multiply by co sinus of e of (3x)) multiply by sinus of (x)
- ((a plus x) multiply by sinus of (3x) multiply by sinus of (x) plus two multiply by co sinus of e of (3x)) multiply by sinus of (x)
- ((a+x)sin(3x)sin(x)+2cos(3x))sin(x)
- a+xsin3xsinx+2cos3xsinx
- ((a+x)*sin(3x)*sin(x)+2*cos(3x))*sin(x)dx
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Similar expressions
- ((a+x)*sin(3x)*sin(x)-2*cos(3x))*sin(x)
- ((a-x)*sin(3x)*sin(x)+2*cos(3x))*sin(x)
- ((a+x)*sin(3x)*sinx+2*cos(3x))*sinx
Integral of ((a+x)*sin(3x)*sin(x)+2*cos(3x))*sin(x) dx
The solution
You have entered
[src]
pi / | | ((a + x)*sin(3*x)*sin(x) + 2*cos(3*x))*sin(x) dx | / 0
$$\int\limits_{0}^{\pi} \left(\left(a + x\right) \sin{\left(3 x \right)} \sin{\left(x \right)} + 2 \cos{\left(3 x \right)}\right) \sin{\left(x \right)}\, dx$$
Integral((((a + x)*sin(3*x))*sin(x) + 2*cos(3*x))*sin(x), (x, 0, pi))
The answer
[src]
4*a 2*pi - --- - ---- 15 15
$$- \frac{4 a}{15} - \frac{2 \pi}{15}$$
=
=
4*a 2*pi - --- - ---- 15 15
$$- \frac{4 a}{15} - \frac{2 \pi}{15}$$
-4*a/15 - 2*pi/15
Use the examples entering the upper and lower limits of integration.