Mister Exam

Other calculators

Solving integrals/ xysqrx^2+y^2

Integral of xysqrx^2+y^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |  / / / 4\\     \   
 |  | | \x /|     |   
 |  | \y    /    2|   
 |  \x        + y / dx
 |                    
/                     
0
$$\int\limits_{0}^{1} \left(x^{y^{x^{4}}} + y^{2}\right)\, dx$$ 
Integral(x^(y^(x^4)) + y^2, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. Don't know the steps in finding this integral.

      But the integral is

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  /           
 |                                  |            
 | / / / 4\\     \                  |  / / 4\\   
 | | | \x /|     |                  |  | \x /|   
 | | \y    /    2|             2    |  \y    /   
 | \x        + y / dx = C + x*y  +  | x        dx
 |                                  |            
/                                  /
$$\int \left(x^{y^{x^{4}}} + y^{2}\right)\, dx = C + x y^{2} + \int x^{y^{x^{4}}}\, dx$$
Simplify
The answer [src] 
  1                   
  /                   
 |                    
 |  / / / 4\\     \   
 |  | | \x /|     |   
 |  | \y    /    2|   
 |  \x        + y / dx
 |                    
/                     
0
$$\int\limits_{0}^{1} \left(x^{y^{x^{4}}} + y^{2}\right)\, dx$$ 
=
= 
  1                   
  /                   
 |                    
 |  / / / 4\\     \   
 |  | | \x /|     |   
 |  | \y    /    2|   
 |  \x        + y / dx
 |                    
/                     
0
$$\int\limits_{0}^{1} \left(x^{y^{x^{4}}} + y^{2}\right)\, dx$$ 
Integral(x^(y^(x^4)) + y^2, (x, 0, 1))

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

    © Mister Exam – Calculator