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Solving integrals/ y^2cos(y^3+1)dy

Integral of y^2cos(y^3+1)dy dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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  /                  
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 |   2    / 3    \   
 |  y *cos\y  + 1/ dy
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$$\int\limits_{0}^{0} y^{2} \cos{\left(y^{3} + 1 \right)}\, dy$$ 
Integral(y^2*cos(y^3 + 1), (y, 0, 0))
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 cosine is sine:

      So, the result is:

    Now substitute back in:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                   
 |                            / 3    \
 |  2    / 3    \          sin\y  + 1/
 | y *cos\y  + 1/ dy = C + -----------
 |                              3     
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$$\int y^{2} \cos{\left(y^{3} + 1 \right)}\, dy = C + \frac{\sin{\left(y^{3} + 1 \right)}}{3}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
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Numerical answer [src] 
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    Use the examples entering the upper and lower limits of integration.

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