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 sin(5x)
-
Integral of x²+2x
- Integral of ln|secx+tanx|dx
-
Integral of 2x^(-1)
-
Identical expressions
- xe^(two x)dx/(one +2x)^2
- xe to the power of (2x)dx divide by (1 plus 2x) squared
- xe to the power of (two x)dx divide by (one plus 2x) squared
- xe(2x)dx/(1+2x)2
- xe2xdx/1+2x2
- xe^(2x)dx/(1+2x)²
- xe to the power of (2x)dx/(1+2x) to the power of 2
- xe^2xdx/1+2x^2
- xe^(2x)dx divide by (1+2x)^2
-
Similar expressions
- xe^(2x)dx/(1-2x)^2
Integral of xe^(2x)dx/(1+2x)^2 dx
The solution
You have entered
[src]
1 / | | 2*x | x*E | ---------- dx | 2 | (1 + 2*x) | / 0
$$\int\limits_{0}^{1} \frac{e^{2 x} x}{\left(2 x + 1\right)^{2}}\, dx$$
Integral((x*E^(2*x))/(1 + 2*x)^2, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 2*x 2*x | x*E e | ---------- dx = C + ------- | 2 4 + 8*x | (1 + 2*x) | /
$$\int \frac{e^{2 x} x}{\left(2 x + 1\right)^{2}}\, dx = C + \frac{e^{2 x}}{8 x + 4}$$
The graph
The answer
[src]
2 1 e - - + -- 4 12
$$- \frac{1}{4} + \frac{e^{2}}{12}$$
=
=
2 1 e - - + -- 4 12
$$- \frac{1}{4} + \frac{e^{2}}{12}$$
-1/4 + exp(2)/12
The graph
Use the examples entering the upper and lower limits of integration.