Mister Exam

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How to use it?
Integral of d{x}:
Integral of sin^2(x)cos^2(x)
Integral of x^2√(1-x^2)
Integral of exp(y)
Integral of 1/(2+cos(x))
Limit of the function:
1+y^2
Identical expressions
one +y^ two
1 plus y squared
one plus y to the power of two
1+y2
1+y²
1+y to the power of 2
Similar expressions
1-y^2

Solving integrals/ 1+y^2

Integral of 1+y^2 dy

The solution

Detail solution

Integrate term-by-term:
1. The integral of $y^{n}$ is $\frac{y^{n + 1}}{n + 1}$ when $n \neq -1$ :
  
  $\int y^{2}\, dy = \frac{y^{3}}{3}$
1. The integral of a constant is the constant times the variable of integration:
  
  $\int 1\, dy = y$
The result is: $\frac{y^{3}}{3} + y$
Add the constant of integration:

$\frac{y^{3}}{3} + y+ \mathrm{constant}$

The answer is:

$\frac{y^{3}}{3} + y+ \mathrm{constant}$

The answer (Indefinite) [src]

  /                        
 |                        3
 | /     2\              y 
 | \1 + y / dy = C + y + --
 |                       3 
/

$$\int \left(y^{2} + 1\right)\, dy = C + \frac{y^{3}}{3} + y$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

32/3

$$\frac{32}{3}$$

=

32/3

$$\frac{32}{3}$$

32/3

Numerical answer [src]

10.6666666666667

10.6666666666667

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