Mister Exam

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How to use it?
Integral of d{x}:
Integral of exp(7*x)*sin(x)
Integral of cos^4(2x)
Integral of e^(-x)/x
Integral of cos(x)*exp(x)
Derivative of:
9*x^8
Graphing y =:
9*x^8
Identical expressions
nine *x^ eight
9 multiply by x to the power of 8
nine multiply by x to the power of eight
9*x8
9*x⁸
9x^8
9x8
9*x^8dx

Solving integrals/ 9*x^8

Integral of 9*x^8 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 9 x^{8}\, dx$$

Integral(9*x^8, (x, 0, 1))

Detail solution

The integral of a constant times a function is the constant times the integral of the function:

$\int 9 x^{8}\, dx = 9 \int x^{8}\, dx$
1. The integral of $x^{n}$ is $\frac{x^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int x^{8}\, dx = \frac{x^{9}}{9}$
So, the result is: $x^{9}$
Add the constant of integration:

$x^{9}+ \mathrm{constant}$

The answer is:

$x^{9}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                
 |                 
 |    8           9
 | 9*x  dx = C + x 
 |                 
/

$$\int 9 x^{8}\, dx = C + x^{9}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

=

$$1$$

Numerical answer [src]

1.0

1.0

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