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- Integral of d{x}:
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Integral of 2x(x^2+1)
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Integral of (1+2x^2)/(x^2(1+x^2))
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Integral of 1/(2+cosx)^2
- Integral of x/((x-1)(x-2))
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Identical expressions
- arcsinx*cosx*dx
- arc sinus of x multiply by co sinus of e of x multiply by dx
- arcsinxcosxdx
Integral of arcsinx*cosx*dx dx
The solution
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pi -- 4 / | | asin(x)*cos(x) dx | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx$$
Integral(asin(x)*cos(x), (x, 0, pi/4))
The answer (Indefinite)
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/
/ |
| | sin(x)
| asin(x)*cos(x) dx = C - | --------------------- dx + asin(x)*sin(x)
| | ___________________
/ | \/ -(1 + x)*(-1 + x)
|
/
$$\int \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx = C + \sin{\left(x \right)} \operatorname{asin}{\left(x \right)} - \int \frac{\sin{\left(x \right)}}{\sqrt{- \left(x - 1\right) \left(x + 1\right)}}\, dx$$
The answer
[src]
pi -- 4 / | | asin(x)*cos(x) dx | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx$$
=
=
pi -- 4 / | | asin(x)*cos(x) dx | / 0
$$\int\limits_{0}^{\frac{\pi}{4}} \cos{\left(x \right)} \operatorname{asin}{\left(x \right)}\, dx$$
Integral(asin(x)*cos(x), (x, 0, pi/4))
Use the examples entering the upper and lower limits of integration.