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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/(x^2+2*x+5)
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Integral of 1/sqrt(x^2+1)
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Integral of 4*x*exp(x^2)
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Integral of (sec(x))^3
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Identical expressions
- sqrt(x)*cos(sqrt(x))
- square root of (x) multiply by co sinus of e of ( square root of (x))
- √(x)*cos(√(x))
- sqrt(x)cos(sqrt(x))
- sqrtxcossqrtx
- sqrt(x)*cos(sqrt(x))dx
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Similar expressions
- sqrtx*(cos(sqrtx/2))
- (1/sqrt(x))*cos(sqrt(x))
Integral of sqrt(x)*cos(sqrt(x)) dx
The solution
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1 / | | ___ / ___\ | \/ x *cos\\/ x / dx | / 0
$$\int\limits_{0}^{1} \sqrt{x} \cos{\left(\sqrt{x} \right)}\, dx$$
Integral(sqrt(x)*cos(sqrt(x)), (x, 0, 1))
The answer (Indefinite)
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/ | | ___ / ___\ / ___\ / ___\ ___ / ___\ | \/ x *cos\\/ x / dx = C - 4*sin\\/ x / + 2*x*sin\\/ x / + 4*\/ x *cos\\/ x / | /
$$\int \sqrt{x} \cos{\left(\sqrt{x} \right)}\, dx = C + 4 \sqrt{x} \cos{\left(\sqrt{x} \right)} + 2 x \sin{\left(\sqrt{x} \right)} - 4 \sin{\left(\sqrt{x} \right)}$$
The graph
The answer
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-2*sin(1) + 4*cos(1)
$$- 2 \sin{\left(1 \right)} + 4 \cos{\left(1 \right)}$$
=
=
-2*sin(1) + 4*cos(1)
$$- 2 \sin{\left(1 \right)} + 4 \cos{\left(1 \right)}$$
-2*sin(1) + 4*cos(1)
The graph
Use the examples entering the upper and lower limits of integration.