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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of x/(raiz(2x-5))
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Integral of (x+1)/(x^2+2x-1)
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Integral of (x+1)/(2x²+3x-4)
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Integral of e^ydy
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Identical expressions
- (x- two)/sqrt(x^ two - nine)
- (x minus 2) divide by square root of (x squared minus 9)
- (x minus two) divide by square root of (x to the power of two minus nine)
- (x-2)/√(x^2-9)
- (x-2)/sqrt(x2-9)
- x-2/sqrtx2-9
- (x-2)/sqrt(x²-9)
- (x-2)/sqrt(x to the power of 2-9)
- x-2/sqrtx^2-9
- (x-2) divide by sqrt(x^2-9)
- (x-2)/sqrt(x^2-9)dx
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Similar expressions
- (x-2)/sqrt(x^2+9)
- (x+2)/sqrt(x^2-9)
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What you mean?
- (x - 1*2)/(sqrt(x^2 - 1*9))
- (x - 1*2)/(sqrt(x^2) - 1*9)
- (x - 1*2)/(sqrt(x)*2 - 1*9)
- (x - 1*2)/((sqrt(x))^2 - 1*9)
- (x - 1*2)*(x^2 - 1*9)/(sqrt(x))
- x - 2/(sqrt(x^2 - 1*9))
- x - 2*(x^2 - 1*9)/(sqrt(x))
You entered:
(x-2)/sqrt(x^2-9)
What you mean?
Integral of (x-2)/sqrt(x^2-9) dx
The solution
You have entered
[src]
1 / | | x - 2 | ----------- dx | ________ | / 2 | \/ x - 9 | / 0
$$\int\limits_{0}^{1} \frac{x - 2}{\sqrt{x^{2} - 9}}\, dx$$
Integral((x - 1*2)/(sqrt(x^2 - 1*9)), (x, 0, 1))
The answer (Indefinite)
[src]
/ | _________ / _________\ | x - 2 / 2 | / 2 | | ----------- dx = C + \/ -9 + x - 2*log\2*x + 2*\/ -9 + x / | ________ | / 2 | \/ x - 9 | /
$$\int \frac{x - 2}{\sqrt{x^{2} - 9}}\, dx = C + \sqrt{x^{2} - 9} - 2 \log{\left(2 x + 2 \sqrt{x^{2} - 9} \right)}$$
The graph
The answer
[src]
/ ___\ ___ -3*I - 2*log\1 + 2*I*\/ 2 / + 2*log(3) + pi*I + 2*I*\/ 2
$$2 \log{\left(3 \right)} - 3 i - 2 \log{\left(1 + 2 \sqrt{2} i \right)} + 2 \sqrt{2} i + i \pi$$
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/ ___\ ___ -3*I - 2*log\1 + 2*I*\/ 2 / + 2*log(3) + pi*I + 2*I*\/ 2
$$2 \log{\left(3 \right)} - 3 i - 2 \log{\left(1 + 2 \sqrt{2} i \right)} + 2 \sqrt{2} i + i \pi$$
The graph
Use the examples entering the upper and lower limits of integration.