Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Integral of d{x}:
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Integral of -2/x
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Integral of sqrt(x+4)/x
- Integral of (xsinx)/(1+(cosx)^2)
- Integral of xln3xdx
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Identical expressions
- sqrt(x+ four)/x
- square root of (x plus 4) divide by x
- square root of (x plus 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
- (3/sqrt(x))+4/(x^8)
- sqrt(x-4)/x
- (5xsqrt(x)+(4/x^2))
- 2*cos(x)-sqrt(x)+4/x
- (sqrt(x+4))/x
- 1-4/sqrt(x)+(4/x^2)+exp(x)
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 / _______\ _______ / _______\ | --------- dx = C - 2*log\2 + \/ 4 + x / + 2*\/ 4 + x + 2*log\-2 + \/ 4 + x / | x | /
$$\int \frac{\sqrt{x + 4}}{x}\, dx = C + 2 \sqrt{x + 4} + 2 \log{\left(\sqrt{x + 4} - 2 \right)} - 2 \log{\left(\sqrt{x + 4} + 2 \right)}$$
The graph
The answer
[src]
/ ___\
|\/ 5 |
oo - 4*acoth|-----|
\ 2 /
$$- 4 \operatorname{acoth}{\left(\frac{\sqrt{5}}{2} \right)} + \infty$$
=
=
/ ___\
|\/ 5 |
oo - 4*acoth|-----|
\ 2 /
$$- 4 \operatorname{acoth}{\left(\frac{\sqrt{5}}{2} \right)} + \infty$$
oo - 4*acoth(sqrt(5)/2)
The graph
Use the examples entering the upper and lower limits of integration.