Mister Exam
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- Improper integral
- Double Integral
- Triple Integral
- 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
- d*x/(x*sqrd(ln^2x+ one))
- d multiply by x divide by (x multiply by sqrd(ln squared x plus 1))
- d multiply by x divide by (x multiply by sqrd(ln squared x plus one))
- d*x/(x*sqrd(ln2x+1))
- d*x/x*sqrdln2x+1
- d*x/(x*sqrd(ln²x+1))
- d*x/(x*sqrd(ln to the power of 2x+1))
- dx/(xsqrd(ln^2x+1))
- dx/(xsqrd(ln2x+1))
- dx/xsqrdln2x+1
- dx/xsqrdln^2x+1
- d*x divide by (x*sqrd(ln^2x+1))
- d*x/(x*sqrd(ln^2x+1))dx
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Similar expressions
- d*x/(x*sqrd(ln^2x-1))
Integral of d*x/(x*sqrd(ln^2x+1)) dx
The solution
You have entered
[src]
1 / | | d*x | ------------------ dx | _____________ | / 2 | x*\/ log (x) + 1 | / 0
$$\int\limits_{0}^{1} \frac{d x}{x \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
Integral((d*x)/((x*sqrt(log(x)^2 + 1))), (x, 0, 1))
The answer (Indefinite)
[src]
/ / | | | d*x | 1 | ------------------ dx = C + d* | ---------------- dx | _____________ | _____________ | / 2 | / 2 | x*\/ log (x) + 1 | \/ 1 + log (x) | | / /
$$\int \frac{d x}{x \sqrt{\log{\left(x \right)}^{2} + 1}}\, dx = C + d \int \frac{1}{\sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
The answer
[src]
1
/
|
| 1
d* | ---------------- dx
| _____________
| / 2
| \/ 1 + log (x)
|
/
0
$$d \int\limits_{0}^{1} \frac{1}{\sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
=
=
1
/
|
| 1
d* | ---------------- dx
| _____________
| / 2
| \/ 1 + log (x)
|
/
0
$$d \int\limits_{0}^{1} \frac{1}{\sqrt{\log{\left(x \right)}^{2} + 1}}\, dx$$
d*Integral(1/sqrt(1 + log(x)^2), (x, 0, 1))
Use the examples entering the upper and lower limits of integration.