Mister Exam

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Other calculators

How to use it?
Integral of d{x}:
Integral of 4x
Integral of -2/x
Integral of 2*x/(x^2+1)
Integral of x*cos(x)
The double integral of:
x^2*y
x^2*y
Identical expressions
x^ two *y
x squared multiply by y
x to the power of two multiply by y
x2*y
x²*y
x to the power of 2*y
x^2y
x2y
x^2*ydx
What you mean?
x^2*y
x^(2*y)
x^(2*y)

Solving integrals/ x^2*y

You entered:

x^2*y

What you mean?

x^2*y

x^(2*y)

x^(2*y)

Integral of x^2*y dx

The solution

You have entered [src]

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

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

Detail solution

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

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

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

The answer is:

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

The answer (Indefinite) [src]

  /                  
 |                  3
 |  2            y*x 
 | x *y dx = C + ----
 |                3  
/

$${{x^3\,y}\over{3}}$$

Simplify

The answer [src]

y
-
3

$${{y}\over{3}}$$

=

y
-
3

$$\frac{y}{3}$$

Упростить

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