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How to use it?
- Integral of d{x}:
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Integral of 1/(x(1-x))
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Integral of x*sinh(x)
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Integral of x/(sinx^2)^2
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Integral of x*ln(x^2+1)
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Identical expressions
- x^ two *cos(sqrt(x))
- x squared multiply by co sinus of e of ( square root of (x))
- x to the power of two multiply by co sinus of e of ( square root of (x))
- x^2*cos(√(x))
- x2*cos(sqrt(x))
- x2*cossqrtx
- x²*cos(sqrt(x))
- x to the power of 2*cos(sqrt(x))
- x^2cos(sqrt(x))
- x2cos(sqrt(x))
- x2cossqrtx
- x^2cossqrtx
- x^2*cos(sqrt(x))dx
Integral of x^2*cos(sqrt(x)) dx
The solution
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[src]
oo / | | 2 / ___\ | x *cos\\/ x / dx | / 0
$$\int\limits_{0}^{\infty} x^{2} \cos{\left(\sqrt{x} \right)}\, dx$$
Integral(x^2*cos(sqrt(x)), (x, 0, oo))
The answer (Indefinite)
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/ | | 2 / ___\ / ___\ / ___\ 3/2 / ___\ 5/2 / ___\ 2 / ___\ ___ / ___\ | x *cos\\/ x / dx = C + 240*cos\\/ x / - 120*x*cos\\/ x / - 40*x *sin\\/ x / + 2*x *sin\\/ x / + 10*x *cos\\/ x / + 240*\/ x *sin\\/ x / | /
$$\int x^{2} \cos{\left(\sqrt{x} \right)}\, dx = C + 2 x^{\frac{5}{2}} \sin{\left(\sqrt{x} \right)} - 40 x^{\frac{3}{2}} \sin{\left(\sqrt{x} \right)} + 240 \sqrt{x} \sin{\left(\sqrt{x} \right)} + 10 x^{2} \cos{\left(\sqrt{x} \right)} - 120 x \cos{\left(\sqrt{x} \right)} + 240 \cos{\left(\sqrt{x} \right)}$$
Use the examples entering the upper and lower limits of integration.