Mister Exam

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How to use it?
Integral of d{x}:
Integral of x^-2
Integral of (x+1)^2
Integral of ln^2(x)
Integral of ln(x)
Limit of the function:
pi*x/2
Identical expressions
pi*x/ two
Pi multiply by x divide by 2
Pi multiply by x divide by two
pix/2
pi*x divide by 2
pi*x/2dx
Similar expressions
sin(pi*x/(2*y))
(-4x+1)tsin((pix)/(2.5))
cos(pi*x)/2*(cos(2*n+1)*pi*x)/6
1-cos((pi*x)/2)

Solving integrals/ pi*x/2

Integral of pi*x/2 dx

The solution

You have entered [src]

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

Integral(pi*x/2, (x, 0, 1))

Detail solution

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

$\int \frac{\pi x}{2}\, dx = \frac{\pi \int x\, dx}{2}$
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: $\frac{\pi x^{2}}{4}$
Add the constant of integration:

$\frac{\pi x^{2}}{4}+ \mathrm{constant}$

The answer is:

$\frac{\pi x^{2}}{4}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                   
 |                   2
 | pi*x          pi*x 
 | ---- dx = C + -----
 |  2              4  
 |                    
/

$${{\pi\,x^2}\over{4}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

pi
--
4

$${{\pi}\over{4}}$$

=

pi
--
4

$$\frac{\pi}{4}$$

Упростить

Numerical answer [src]

0.785398163397448

0.785398163397448

The graph

Integral of pi*x/2 dx

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