Mister Exam

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Integral of d{x}:
Integral of x^4lnx
Integral of dx/sinxcosx
Integral of (2x+3)
Integral of 1/(1-cos(x))
Derivative of:
45x^2
The double integral of:
45x^2
45x^2
Identical expressions
45x^ two
45x squared
45x to the power of two
45x2
45x²
45x to the power of 2
45x^2dx

Solving integrals/ 45x^2

Integral of 45x^2 dx

The solution

You have entered [src]

  1         
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 |      2   
 |  45*x  dx
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0

$$\int\limits_{0}^{1} 45 x^{2}\, dx$$

Integral(45*x^2, (x, 0, 1))

Detail solution

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

$\int 45 x^{2}\, dx = 45 \int x^{2}\, dx$
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: $15 x^{3}$
Add the constant of integration:

$15 x^{3}+ \mathrm{constant}$

The answer is:

$15 x^{3}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                    
 |                     
 |     2              3
 | 45*x  dx = C + 15*x 
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/

$$\int 45 x^{2}\, dx = C + 15 x^{3}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$15$$

=

$$15$$

Numerical answer [src]

15.0

15.0

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