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Integral of sqrt(x)*i*n*x dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
  1               
  /               
 |                
 |    ___         
 |  \/ x *I*n*x dx
 |                
/                 
0                 
$$\int\limits_{0}^{1} x n i \sqrt{x}\, dx$$
Integral(((sqrt(x)*i)*n)*x, (x, 0, 1))
Detail solution
  1. Let .

    Then let and substitute :

    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:

    Now substitute back in:

  2. Add the constant of integration:


The answer is:

The answer (Indefinite) [src]
  /                               
 |                             5/2
 |   ___                2*I*n*x   
 | \/ x *I*n*x dx = C + ----------
 |                          5     
/                                 
$$\int x n i \sqrt{x}\, dx = C + \frac{2 i n x^{\frac{5}{2}}}{5}$$
The answer [src]
2*I*n
-----
  5  
$$\frac{2 i n}{5}$$
=
=
2*I*n
-----
  5  
$$\frac{2 i n}{5}$$
2*i*n/5

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