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 x*cos(x/2)
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Integral of x^5/(x^2+1)
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Integral of x/(2*x+1)
- Integral of (-x)/(1-x^2)
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Identical expressions
- (sqrt(2x+ three)dx)/(2x+ four)
- ( square root of (2x plus 3)dx) divide by (2x plus 4)
- ( square root of (2x plus three)dx) divide by (2x plus four)
- (√(2x+3)dx)/(2x+4)
- sqrt2x+3dx/2x+4
- (sqrt(2x+3)dx) divide by (2x+4)
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Similar expressions
- (sqrt(2x+3)dx)/(2x-4)
- (sqrt(2x-3)dx)/(2x+4)
Integral of (sqrt(2x+3)dx)/(2x+4) dx
The solution
You have entered
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1 / | | _________ 1 | \/ 2*x + 3 *1*------- dx | 2*x + 4 | / 0
$$\int\limits_{0}^{1} \sqrt{2 x + 3} \cdot 1 \cdot \frac{1}{2 x + 4}\, dx$$
Integral(sqrt(2*x + 3)*1/(2*x + 4), (x, 0, 1))
The answer (Indefinite)
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/ | | _________ 1 _________ / _________\ | \/ 2*x + 3 *1*------- dx = C + \/ 3 + 2*x - atan\\/ 3 + 2*x / | 2*x + 4 | /
$$\sqrt{2\,x+3}-\arctan \sqrt{2\,x+3}$$
The graph
The answer
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/ ___\
___ ___ pi |\/ 6 |
\/ 5 - \/ 3 - -- + asin|-----|
6 \ 6 /
$$-\arctan \sqrt{5}+{{\pi-3^{{{3}\over{2}}}}\over{3}}+\sqrt{5}$$
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/ ___\
___ ___ pi |\/ 6 |
\/ 5 - \/ 3 - -- + asin|-----|
6 \ 6 /
$$- \sqrt{3} - \frac{\pi}{6} + \operatorname{asin}{\left(\frac{\sqrt{6}}{6} \right)} + \sqrt{5}$$
The graph
Use the examples entering the upper and lower limits of integration.