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sinx+x^2
Solving integrals/ sinx+x^2

Integral of sinx+x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

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

  1. Integrate term-by-term:

    1. The integral of is when :

    1. The integral of sine is negative cosine:

    The result is:

  2. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                                  3
 | /          2\                   x 
 | \sin(x) + x / dx = C - cos(x) + --
 |                                 3 
/
$$\int \left(x^{2} + \sin{\left(x \right)}\right)\, dx = C + \frac{x^{3}}{3} - \cos{\left(x \right)}$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
4/3 - cos(1)
$$\frac{4}{3} - \cos{\left(1 \right)}$$ 
=
= 
4/3 - cos(1)
$$\frac{4}{3} - \cos{\left(1 \right)}$$ 
4/3 - cos(1)
Numerical answer [src] 
0.793031027465194
0.793031027465194
The graph
Integral of sinx+x^2 dx

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

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