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How to use it?
- Integral of d{x}:
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Integral of sinx
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Integral of sin(x²)
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Integral of (5x^3+2)/(x^3-5x^2+4x)
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Integral of (-2)/x^3
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Identical expressions
- one /(((x- four)^ two)+ four)
- 1 divide by (((x minus 4) squared ) plus 4)
- one divide by (((x minus four) to the power of two) plus four)
- 1/(((x-4)2)+4)
- 1/x-42+4
- 1/(((x-4)²)+4)
- 1/(((x-4) to the power of 2)+4)
- 1/x-4^2+4
- 1 divide by (((x-4)^2)+4)
- 1/(((x-4)^2)+4)dx
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Similar expressions
- 1/(((x-4)^2)-4)
- 1/(((x+4)^2)+4)
Integral of 1/(((x-4)^2)+4) dx
The solution
You have entered
[src]
1 / | | 1 | ------------ dx | 2 | (x - 4) + 4 | / 0
$$\int\limits_{0}^{1} \frac{1}{\left(x - 4\right)^{2} + 4}\, dx$$
Integral(1/((x - 4)^2 + 4), (x, 0, 1))
The answer (Indefinite)
[src]
/ / x\ | atan|-2 + -| | 1 \ 2/ | ------------ dx = C + ------------ | 2 2 | (x - 4) + 4 | /
$$\int \frac{1}{\left(x - 4\right)^{2} + 4}\, dx = C + \frac{\operatorname{atan}{\left(\frac{x}{2} - 2 \right)}}{2}$$
The graph
The answer
[src]
atan(2) atan(3/2) ------- - --------- 2 2
$$- \frac{\operatorname{atan}{\left(\frac{3}{2} \right)}}{2} + \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
=
=
atan(2) atan(3/2) ------- - --------- 2 2
$$- \frac{\operatorname{atan}{\left(\frac{3}{2} \right)}}{2} + \frac{\operatorname{atan}{\left(2 \right)}}{2}$$
atan(2)/2 - atan(3/2)/2
Use the examples entering the upper and lower limits of integration.