Mister Exam
Other calculators
- Improper integral
- Double Integral
- Triple Integral
- Curvilinear integral
- Derivative Step by Step
- Differential equations Step by Step
- Limits Step by Step
-
How to use it?
- Integral of d{x}:
-
Integral of e^(-x/2)
-
Integral of 1/(x-3)^2
-
Integral of x/(x^2-4)^3
-
Integral of (x*ln(x))/(1+x^2)^2
-
Identical expressions
- x/(x^ two - four)^ three
- x divide by (x squared minus 4) cubed
- x divide by (x to the power of two minus four) to the power of three
- x/(x2-4)3
- x/x2-43
- x/(x²-4)³
- x/(x to the power of 2-4) to the power of 3
- x/x^2-4^3
- x divide by (x^2-4)^3
- x/(x^2-4)^3dx
-
Similar expressions
- x/(x^2+4)^3
Integral of x/(x^2-4)^3 dx
The solution
You have entered
[src]
1 / | | x | --------- dx | 3 | / 2 \ | \x - 4/ | / 0
$$\int\limits_{0}^{1} \frac{x}{\left(x^{2} - 4\right)^{3}}\, dx$$
Integral(x/(x^2 - 4)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | x 1 1 1 1 | --------- dx = C - ------------ - ----------- - ----------- + ------------ | 3 2 2 128*(2 + x) 128*(-2 + x) | / 2 \ 64*(-2 + x) 64*(2 + x) | \x - 4/ | /
$$\int \frac{x}{\left(x^{2} - 4\right)^{3}}\, dx = C - \frac{1}{128 \left(x + 2\right)} - \frac{1}{64 \left(x + 2\right)^{2}} + \frac{1}{128 \left(x - 2\right)} - \frac{1}{64 \left(x - 2\right)^{2}}$$
The graph
The graph
Use the examples entering the upper and lower limits of integration.