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x^3-sinx
Solving integrals/ x^3-sinx

Integral of x^3-sinx dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                 
  /                 
 |                  
 |  / 3         \   
 |  \x  - sin(x)/ dx
 |                  
/                   
0
$$\int\limits_{0}^{1} \left(x^{3} - \sin{\left(x \right)}\right)\, dx$$ 
Integral(x^3 - sin(x), (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    1. The integral of is when :

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

      1. The integral of sine is negative cosine:

      So, the result is:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                         4         
 | / 3         \          x          
 | \x  - sin(x)/ dx = C + -- + cos(x)
 |                        4          
/
$$\int \left(x^{3} - \sin{\left(x \right)}\right)\, dx = C + \frac{x^{4}}{4} + \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
-3/4 + cos(1)
$$- \frac{3}{4} + \cos{\left(1 \right)}$$ 
=
= 
-3/4 + cos(1)
$$- \frac{3}{4} + \cos{\left(1 \right)}$$ 
-3/4 + cos(1)
Numerical answer [src] 
-0.20969769413186
-0.20969769413186
The graph
Integral of x^3-sinx dx

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

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