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- Improper integral
- Double Integral
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- Curvilinear integral
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How to use it?
- Integral of d{x}:
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Integral of sin²xcos²x
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Integral of ex^2
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Integral of -e^x
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Integral of (1+2x^2)/(x^2(1+x^2))
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Identical expressions
- sqrt(x- four)/x
- square root of (x minus 4) divide by x
- square root of (x minus four) divide by x
- √(x-4)/x
- sqrtx-4/x
- sqrt(x-4) divide by x
- sqrt(x-4)/xdx
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Similar expressions
- (sqrt(x-4))/x
- (sqrt(x)-4)/x(2sqrt(x)+1)^2
- sqrt(x+4)/x
- 4*3sqrt(x)-4/x
- sqrt((x-4)/(x-7))
- 2*x*(sqrt(x)-4)/x^2
Integral of sqrt(x-4)/x dx
The solution
You have entered
[src]
1 / | | _______ | \/ x - 4 | --------- dx | x | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{x - 4}}{x}\, dx$$
Integral(sqrt(x - 4)/x, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | _______ / ________\ | \/ x - 4 |\/ -4 + x | ________ | --------- dx = C - 4*atan|----------| + 2*\/ -4 + x | x \ 2 / | /
$$\int \frac{\sqrt{x - 4}}{x}\, dx = C + 2 \sqrt{x - 4} - 4 \operatorname{atan}{\left(\frac{\sqrt{x - 4}}{2} \right)}$$
The graph
The answer
[src]
___ oo*I - 4*I*acosh(2) + 2*I*\/ 3
$$- 4 i \operatorname{acosh}{\left(2 \right)} + 2 \sqrt{3} i + \infty i$$
=
=
___ oo*I - 4*I*acosh(2) + 2*I*\/ 3
$$- 4 i \operatorname{acosh}{\left(2 \right)} + 2 \sqrt{3} i + \infty i$$
oo*i - 4*i*acosh(2) + 2*i*sqrt(3)
The graph
Use the examples entering the upper and lower limits of integration.