Mister Exam

Lang:

Other calculators

How to use it?
Integral of d{x}:
Integral of -1
Integral of 1/(xlog(x))
Integral of xe^(-4x)
Integral of x⁷dx
Identical expressions
7x^ two -3x+ five
7x squared minus 3x plus 5
7x to the power of two minus 3x plus five
7x2-3x+5
7x²-3x+5
7x to the power of 2-3x+5
7x^2-3x+5dx
Similar expressions
7x^2-3x-5
7x^2+3x+5

Solving integrals/ 7x^2-3x+5

Integral of 7x^2-3x+5 dx

The solution

You have entered [src]

  1                    
  /                    
 |                     
 |  /   2          \   
 |  \7*x  - 3*x + 5/ dx
 |                     
/                      
0

$$\int\limits_{0}^{1} \left(7 x^{2} - 3 x + 5\right)\, dx$$

Integral(7*x^2 - 3*x + 5, (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:
  
  $\int 7 x^{2}\, dx = 7 \int x^{2}\, dx$
  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: $\frac{7 x^{3}}{3}$
1. The integral of a constant times a function is the constant times the integral of the function:
  
  $\int \left(- 3 x\right)\, dx = - \int 3 x\, dx$
  1. The integral of a constant times a function is the constant times the integral of the function:
    
    $\int 3 x\, dx = 3 \int x\, dx$
    1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
      
      $\int x\, dx = \frac{x^{2}}{2}$
    So, the result is: $\frac{3 x^{2}}{2}$
  So, the result is: $- \frac{3 x^{2}}{2}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 5\, dx = 5 x$
The result is: $\frac{7 x^{3}}{3} - \frac{3 x^{2}}{2} + 5 x$
Now simplify:

$\frac{x \left(14 x^{2} - 9 x + 30\right)}{6}$
Add the constant of integration:

$\frac{x \left(14 x^{2} - 9 x + 30\right)}{6}+ \mathrm{constant}$

The answer is:

$\frac{x \left(14 x^{2} - 9 x + 30\right)}{6}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                                           
 |                                    2      3
 | /   2          \                3*x    7*x 
 | \7*x  - 3*x + 5/ dx = C + 5*x - ---- + ----
 |                                  2      3  
/

$$\int \left(7 x^{2} - 3 x + 5\right)\, dx = C + \frac{7 x^{3}}{3} - \frac{3 x^{2}}{2} + 5 x$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

35/6

$$\frac{35}{6}$$

35/6

$$\frac{35}{6}$$

Упростить

Numerical answer [src]

5.83333333333333

5.83333333333333

The graph

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

Other calculators

How to use it?

Identical expressions

Similar expressions

Integral of 7x^2-3x+5 dx

Limits of integration:

The graph:

Piecewise:

The solution