Mister Exam

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Integral of d{x}:
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Integral of x^2sen(x)
Integral of dx/1+4x^2
Integral of dx/(2-5*x)
Identical expressions
dx/ one +4x^ two
dx divide by 1 plus 4x squared
dx divide by one plus 4x to the power of two
dx/1+4x2
dx/1+4x²
dx/1+4x to the power of 2
dx divide by 1+4x^2
Similar expressions
dx/1-4x^2
dx/(1+4x^2)

Solving integrals/ dx/1+4x^2

Integral of dx/1+4x^2 dx

The solution

You have entered [src]

  1                
  /                
 |                 
 |  /         2\   
 |  \1.0 + 4*x / dx
 |                 
/                  
0

$$\int\limits_{0}^{1} \left(4 x^{2} + 1.0\right)\, dx$$

Integral(1.0 + 4*x^2, (x, 0, 1))

Detail solution

Integrate term-by-term:
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int 4 x^{2}\, dx = 4 \int x^{2}\, dx$
  1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
    
    $\int x^{2}\, dx = \frac{x^{3}}{3}$
  So, the result is: $\frac{4 x^{3}}{3}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1.0\, dx = 1.0 x$
The result is: $\frac{4 x^{3}}{3} + 1.0 x$
Now simplify:

$\frac{4 x^{3}}{3} + x$
Add the constant of integration:

$\frac{4 x^{3}}{3} + x+ \mathrm{constant}$

The answer is:

$\frac{4 x^{3}}{3} + x+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                  
 |                          3        
 | /         2\          4*x         
 | \1.0 + 4*x / dx = C + ---- + 1.0*x
 |                        3          
/

$$\int \left(4 x^{2} + 1.0\right)\, dx = C + \frac{4 x^{3}}{3} + 1.0 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

2.33333333333333

$$2.33333333333333$$

2.33333333333333

$$2.33333333333333$$

2.33333333333333

Numerical answer [src]

2.33333333333333

2.33333333333333

The graph

Use the examples entering the upper and lower limits of integration.

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Identical expressions

Similar expressions

Integral of dx/1+4x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution