Mister Exam

Other calculators

Solving integrals/ (1/x)+16*x*y^2

Integral of (1/x)+16*x*y^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                   
  /                   
 |                    
 |  /  1         2\   
 |  |1*- + 16*x*y | dx
 |  \  x          /   
 |                    
/                     
0
$$\int\limits_{0}^{1} \left(16 x y^{2} + 1 \cdot \frac{1}{x}\right)\, dx$$ 
Integral(1/x + 16*x*y^2, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

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

      1. The integral of is when :

      So, the result is:

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

      But the integral is

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                         
 |                                          
 | /  1         2\             2  2         
 | |1*- + 16*x*y | dx = C + 8*x *y  + log(x)
 | \  x          /                          
 |                                          
/
$$8\,x^2\,y^2+\log x$$
Simplify
The answer [src] 
        2
oo + 8*y
$${\it \%a}$$ 
=
= 
        2
oo + 8*y
$$8 y^{2} + \infty$$
Упростить

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

    © Mister Exam – Calculator