Mister Exam

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Integral of d{x}:
Integral of x×e^x
Integral of (-1+u)/(1+u^2)
Integral of 1/(sinx)^4
Integral of x/sin^2(x^2)
Graphing y =:
x^3+3
x^3+3
Identical expressions
x^ three + three
x cubed plus 3
x to the power of three plus three
x3+3
x³+3
x to the power of 3+3
x^3+3dx
Similar expressions
2√x(x^3+3)
x^3-3
(x^2+cosx)/(x^3+3sinx)
(x^3+3x-2)÷(x+3)

Solving integrals/ x^3+3

Integral of x^3+3 dx

The solution

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  1            
  /            
 |             
 |  / 3    \   
 |  \x  + 3/ dx
 |             
/              
0

$$\int\limits_{0}^{1} \left(x^{3} + 3\right)\, dx$$

Integral(x^3 + 3, (x, 0, 1))

Detail solution

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

$\frac{x \left(x^{3} + 12\right)}{4}$
Add the constant of integration:

$\frac{x \left(x^{3} + 12\right)}{4}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{3} + 12\right)}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

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

$${{x^4}\over{4}}+3\,x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

13/4

$${{13}\over{4}}$$

13/4

$$\frac{13}{4}$$

Упростить

Numerical answer [src]

3.25

3.25

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 x^3+3 dx

Limits of integration:

The graph:

Piecewise:

The solution