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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of sinx
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Integral of cosx^2
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Integral of sinh(x)
- Integral of xcos(nx)
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Identical expressions
- cos(3x)*sin(x/ four)
- co sinus of e of (3x) multiply by sinus of (x divide by 4)
- co sinus of e of (3x) multiply by sinus of (x divide by four)
- cos(3x)sin(x/4)
- cos3xsinx/4
- cos(3x)*sin(x divide by 4)
- cos(3x)*sin(x/4)dx
Integral of cos(3x)*sin(x/4) dx
The solution
You have entered
[src]
1 / | | /x\ | cos(3*x)*sin|-| dx | \4/ | / 0
$$\int\limits_{0}^{1} \sin{\left(\frac{x}{4} \right)} \cos{\left(3 x \right)}\, dx$$
Integral(cos(3*x)*sin(x/4), (x, 0, 1))
The graph
The answer
[src]
4 4*cos(3)*cos(1/4) 48*sin(3)*sin(1/4) - --- + ----------------- + ------------------ 143 143 143
$$- \frac{4}{143} + \frac{4 \cos{\left(\frac{1}{4} \right)} \cos{\left(3 \right)}}{143} + \frac{48 \sin{\left(\frac{1}{4} \right)} \sin{\left(3 \right)}}{143}$$
=
=
4 4*cos(3)*cos(1/4) 48*sin(3)*sin(1/4) - --- + ----------------- + ------------------ 143 143 143
$$- \frac{4}{143} + \frac{4 \cos{\left(\frac{1}{4} \right)} \cos{\left(3 \right)}}{143} + \frac{48 \sin{\left(\frac{1}{4} \right)} \sin{\left(3 \right)}}{143}$$
-4/143 + 4*cos(3)*cos(1/4)/143 + 48*sin(3)*sin(1/4)/143
Use the examples entering the upper and lower limits of integration.