Mister Exam

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How to use it?
Integral of d{x}:
Integral of √(1+sinx)
Integral of x^(33/10)/5
Integral of xcos(x)dx
Integral of ln(x-1)
The double integral of:
x/y
x/y
Limit of the function:
x/y
Identical expressions
x/y
x divide by y
x/ydx
Similar expressions
x/(y^2+x^2)
y*x/(y^2+x^2)

Solving integrals/ x/y

Integral of x/y dx

The solution

You have entered [src]

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

Integral(x/y, (x, 0, 1))

Detail solution

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

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

$\frac{x^{2}}{2 y}+ \mathrm{constant}$

The answer is:

$\frac{x^{2}}{2 y}+ \mathrm{constant}$

The answer (Indefinite) [src]

  /              
 |              2
 | x           x 
 | - dx = C + ---
 | y          2*y
 |               
/

$$\int \frac{x}{y}\, dx = C + \frac{x^{2}}{2 y}$$

Simplify

The answer [src]

 1 
---
2*y

$$\frac{1}{2 y}$$

=

 1 
---
2*y

$$\frac{1}{2 y}$$

1/(2*y)

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