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- Improper integral
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How to use it?
- Integral of d{x}:
- Integral of (1-2*x)/x^2
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Integral of x/(x^3+8)
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Integral of x^(-6)
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Integral of (x^2+2x)
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Identical expressions
- xcosx(x/ two)
- x co sinus of e of x(x divide by 2)
- x co sinus of e of x(x divide by two)
- xcosxx/2
- xcosx(x divide by 2)
- xcosx(x/2)dx
Integral of xcosx(x/2) dx
The solution
You have entered
[src]
pi -- 2 / | | x | x*cos(x)*- dx | 2 | / 0
$$\int\limits_{0}^{\frac{\pi}{2}} \frac{x}{2} x \cos{\left(x \right)}\, dx$$
Integral((x*cos(x))*(x/2), (x, 0, pi/2))
The answer (Indefinite)
[src]
/ | 2 | x x *sin(x) | x*cos(x)*- dx = C - sin(x) + x*cos(x) + --------- | 2 2 | /
$$\int \frac{x}{2} x \cos{\left(x \right)}\, dx = C + \frac{x^{2} \sin{\left(x \right)}}{2} + x \cos{\left(x \right)} - \sin{\left(x \right)}$$
The graph
The answer
[src]
2
pi
-1 + ---
8
$$-1 + \frac{\pi^{2}}{8}$$
=
=
2
pi
-1 + ---
8
$$-1 + \frac{\pi^{2}}{8}$$
-1 + pi^2/8
Use the examples entering the upper and lower limits of integration.