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How to use it?
- Integral of d{x}:
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Integral of sin^2(x)cos^2(x)
- Integral of x^2√(1-x^2)
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Integral of exp(y)
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Integral of 1/(2+cos(x))
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Identical expressions
- (one +arctg two x)/(one +4x^2)
- (1 plus arctg2x) divide by (1 plus 4x squared )
- (one plus arctg two x) divide by (one plus 4x squared )
- (1+arctg2x)/(1+4x2)
- 1+arctg2x/1+4x2
- (1+arctg2x)/(1+4x²)
- (1+arctg2x)/(1+4x to the power of 2)
- 1+arctg2x/1+4x^2
- (1+arctg2x) divide by (1+4x^2)
- (1+arctg2x)/(1+4x^2)dx
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Similar expressions
- (1-arctg2x)/(1+4x^2)
- (1+arctg2x)/(1-4x^2)
Integral of (1+arctg2x)/(1+4x^2) dx
The solution
You have entered
[src]
1 / | | 1 + atan(2*x) | ------------- dx | 2 | 1 + 4*x | / 0
$$\int\limits_{0}^{1} \frac{\operatorname{atan}{\left(2 x \right)} + 1}{4 x^{2} + 1}\, dx$$
Integral((1 + atan(2*x))/(1 + 4*x^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2 | 1 + atan(2*x) (1 + atan(2*x)) | ------------- dx = C + ---------------- | 2 4 | 1 + 4*x | /
$$\int \frac{\operatorname{atan}{\left(2 x \right)} + 1}{4 x^{2} + 1}\, dx = C + \frac{\left(\operatorname{atan}{\left(2 x \right)} + 1\right)^{2}}{4}$$
The graph
Use the examples entering the upper and lower limits of integration.