Mister Exam

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Integral of d{x}:
Integral of 3y^2
Integral of asinx
Integral of e^(5x)×sin3x
Integral of sqrt(8-2x)
Derivative of:
3y^2
Equation:
3y^2
The double integral of:
3y^2
Identical expressions
3y^ two
3y squared
3y to the power of two
3y2
3y²
3y to the power of 2
Similar expressions
6*x^3*y^2+9*x^2*y
24*x*y+18*x^3*y^2

Solving integrals/ 3y^2

Integral of 3y^2 dx

The solution

You have entered [src]

$$\int\limits_{0}^{1} 3 y^{2}\, dy$$

Integral(3*y^2, (y, 0, 1))

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

  /                
 |                 
 |    2           3
 | 3*y  dy = C + y 
 |                 
/

$$y^3$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

$$1$$

=

$$1$$

Simplify

Numerical answer [src]

1.0

1.0

The graph

Integral of 3y^2 dx

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