Mister Exam

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Graphing y =:
x^2+7
Derivative of:
x^2+7
Factor polynomial:
x^2+7
Identical expressions
x^ two + seven
x squared plus 7
x to the power of two plus seven
x2+7
x²+7
x to the power of 2+7
x^2+7dx
Similar expressions
x^2-7
dx/cos(4*x)^(2)+7

Solving integrals/ x^2+7

Integral of x^2+7 dx

The solution

You have entered [src]

  1            
  /            
 |             
 |  / 2    \   
 |  \x  + 7/ dx
 |             
/              
0

$$\int\limits_{0}^{1} \left(x^{2} + 7\right)\, dx$$

Integral(x^2 + 7, (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:
  
  $\int 7\, dx = 7 x$
The result is: $\frac{x^{3}}{3} + 7 x$
Now simplify:

$\frac{x \left(x^{2} + 21\right)}{3}$
Add the constant of integration:

$\frac{x \left(x^{2} + 21\right)}{3}+ \mathrm{constant}$

The answer is:

$\frac{x \left(x^{2} + 21\right)}{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                          
 |                          3
 | / 2    \                x 
 | \x  + 7/ dx = C + 7*x + --
 |                         3 
/

$$\int \left(x^{2} + 7\right)\, dx = C + \frac{x^{3}}{3} + 7 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

22/3

$$\frac{22}{3}$$

22/3

$$\frac{22}{3}$$

Упростить

Numerical answer [src]

7.33333333333333

7.33333333333333

The graph

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

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Identical expressions

Similar expressions

Integral of x^2+7 dx

Limits of integration:

The graph:

Piecewise:

The solution