Mister Exam

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Integral of d{x}:
Integral of x×e^x
Integral of e^(x*(-4))
Integral of x^2e^x
Integral of (x*x)*exp(-x/2)
Graphing y =:
√4+x^2
Derivative of:
√4+x^2
Identical expressions
√ four +x^ two
√4 plus x squared
√ four plus x to the power of two
√4+x2
√4+x²
√4+x to the power of 2
√4+x^2dx
Similar expressions
√4-x^2
√(4+x^2)

Solving integrals/ √4+x^2

Integral of √4+x^2 dx

The solution

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  1                
  /                
 |                 
 |  /  ___    2\   
 |  \\/ 4  + x / dx
 |                 
/                  
0

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

Integral(sqrt(4) + x^2, (x, 0, 1))

Detail solution

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

$\frac{x \left(x^{2} + 6\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} + 6\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{2} + 6\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

$${{x^3}\over{3}}+2\,x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

7/3

$${{7}\over{3}}$$

7/3

$$\frac{7}{3}$$

Упростить

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

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Integral of √4+x^2 dx

Limits of integration:

The graph:

Piecewise:

The solution