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How to use it?
- Integral of d{x}:
- Integral of 1/(x(x-1))
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Integral of xe
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Integral of cosecx
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Integral of 1/sin²x
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Identical expressions
- (arctan(3x))/(one +9x^ two)
- (arc tangent of (3x)) divide by (1 plus 9x squared )
- (arc tangent of (3x)) divide by (one plus 9x to the power of two)
- (arctan(3x))/(1+9x2)
- arctan3x/1+9x2
- (arctan(3x))/(1+9x²)
- (arctan(3x))/(1+9x to the power of 2)
- arctan3x/1+9x^2
- (arctan(3x)) divide by (1+9x^2)
- (arctan(3x))/(1+9x^2)dx
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Similar expressions
- (arctan(3x))/(1-9x^2)
Integral of (arctan(3x))/(1+9x^2) dx
The solution
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[src]
1 / | | atan(3*x) | --------- dx | 2 | 1 + 9*x | / 0
$$\int\limits_{0}^{1} \frac{\operatorname{atan}{\left(3 x \right)}}{9 x^{2} + 1}\, dx$$
Integral(atan(3*x)/(1 + 9*x^2), (x, 0, 1))
The answer (Indefinite)
[src]
/ | 2 | atan(3*x) atan (3*x) | --------- dx = C + ---------- | 2 6 | 1 + 9*x | /
$$\int \frac{\operatorname{atan}{\left(3 x \right)}}{9 x^{2} + 1}\, dx = C + \frac{\operatorname{atan}^{2}{\left(3 x \right)}}{6}$$
The graph
Use the examples entering the upper and lower limits of integration.