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- Improper integral
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How to use it?
- Integral of d{x}:
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Integral of 1/5x
- Integral of sqrt(1+e^(2x))
- Integral of sinx/cos2x
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Integral of sqrt(1-x^2)dx
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Identical expressions
- (sqrt3x+ five)/x
- ( square root of 3x plus 5) divide by x
- ( square root of 3x plus five) divide by x
- (√3x+5)/x
- sqrt3x+5/x
- (sqrt3x+5) divide by x
- (sqrt3x+5)/xdx
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Similar expressions
- sqrt(3*x+5)/x
- (sqrt3x-5)/x
Integral of (sqrt3x+5)/x dx
The solution
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1 / | | _____ | \/ 3*x + 5 | ----------- dx | x | / 0
$$\int\limits_{0}^{1} \frac{\sqrt{3 x} + 5}{x}\, dx$$
Integral((sqrt(3*x) + 5)/x, (x, 0, 1))
The answer (Indefinite)
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/ | | _____ | \/ 3*x + 5 / ___ ___\ ___ ___ | ----------- dx = C + 10*log\\/ 3 *\/ x / + 2*\/ 3 *\/ x | x | /
$$\int \frac{\sqrt{3 x} + 5}{x}\, dx = C + 2 \sqrt{3} \sqrt{x} + 10 \log{\left(\sqrt{3} \sqrt{x} \right)}$$
Use the examples entering the upper and lower limits of integration.