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Solving integrals/ sin(x)*7*y^3*dy

You entered:

sin(x)*7*y^3*dy

What you mean?

sin(x)^7*y^3*dy

Integral of sin(x)*7*y^3*dy dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 pi                 
  /                 
 |                  
 |            3     
 |  sin(x)*7*y *1 dy
 |                  
/                   
0
$$\int\limits_{0}^{\pi} \sin{\left(x \right)} 7 y^{3} \cdot 1\, dy$$ 
Integral(sin(x)*7*y^3*1, (y, 0, pi))
Detail solution

  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:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                           4       
 |           3            7*y *sin(x)
 | sin(x)*7*y *1 dy = C + -----------
 |                             4     
/
$${{7\,\sin x\,y^4}\over{4}}$$
Simplify
The answer [src] 
    4       
7*pi *sin(x)
------------
     4
$${{7\,\pi^4\,\sin x}\over{4}}$$ 
=
= 
    4       
7*pi *sin(x)
------------
     4
$$\frac{7 \pi^{4} \sin{\left(x \right)}}{4}$$
Simplify

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

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