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 tanx
-
Integral of 1/1+cos(x)
- Integral of x/sin(x)
-
Integral of x/(x^2+1)^6
-
Identical expressions
- x^ three dx/(one +2x)^3
- x cubed dx divide by (1 plus 2x) cubed
- x to the power of three dx divide by (one plus 2x) cubed
- x3dx/(1+2x)3
- x3dx/1+2x3
- x³dx/(1+2x)³
- x to the power of 3dx/(1+2x) to the power of 3
- x^3dx/1+2x^3
- x^3dx divide by (1+2x)^3
-
Similar expressions
- x^3dx/(1-2x)^3
Integral of x^3dx/(1+2x)^3 dx
The solution
You have entered
[src]
1 / | | 3 1 | x *1*---------- dx | 3 | (1 + 2*x) | / 0
$$\int\limits_{0}^{1} x^{3} \cdot 1 \cdot \frac{1}{\left(2 x + 1\right)^{3}}\, dx$$
Integral(x^3*1/(1 + 2*x)^3, (x, 0, 1))
The answer (Indefinite)
[src]
/ | | 3 1 3 3*log(1 + 2*x) x 1 | x *1*---------- dx = C - ------------ - -------------- + - + ------------- | 3 16*(1 + 2*x) 16 8 2 | (1 + 2*x) 32*(1 + 2*x) | /
$$\int x^{3} \cdot 1 \cdot \frac{1}{\left(2 x + 1\right)^{3}}\, dx = C + \frac{x}{8} - \frac{3 \log{\left(2 x + 1 \right)}}{16} - \frac{3}{16 \cdot \left(2 x + 1\right)} + \frac{1}{32 \left(2 x + 1\right)^{2}}$$
The graph
The answer
[src]
2 3*log(3) - - -------- 9 16
$$\frac{2}{9} - \frac{3 \log{\left(3 \right)}}{16}$$
=
=
2 3*log(3) - - -------- 9 16
$$\frac{2}{9} - \frac{3 \log{\left(3 \right)}}{16}$$
The graph
Use the examples entering the upper and lower limits of integration.