Mister Exam

Other calculators

sqrt3-x^2
Solving integrals/ sqrt3-x^2

Integral of sqrt3-x^2 dx

Limits of integration:

from to
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
  1                
  /                
 |                 
 |  /  ___    2\   
 |  \\/ 3  - x / dx
 |                 
/                  
0
$$\int\limits_{0}^{1} \left(- x^{2} + \sqrt{3}\right)\, dx$$ 
Integral(sqrt(3) - x^2, (x, 0, 1))
Detail solution

  1. Integrate term-by-term:

    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:

    1. The integral of a constant is the constant times the variable of integration:

    The result is:

  2. Now simplify:

  3. Add the constant of integration:

The answer is:

The answer (Indefinite) [src] 
  /                                  
 |                        3          
 | /  ___    2\          x        ___
 | \\/ 3  - x / dx = C - -- + x*\/ 3 
 |                       3           
/
$$\int \left(- x^{2} + \sqrt{3}\right)\, dx = C - \frac{x^{3}}{3} + \sqrt{3} x$$
Simplify
The graph
Plot the graph f(x)
The answer [src] 
  1     ___
- - + \/ 3 
  3
$$- \frac{1}{3} + \sqrt{3}$$ 
=
= 
  1     ___
- - + \/ 3 
  3
$$- \frac{1}{3} + \sqrt{3}$$ 
-1/3 + sqrt(3)
Numerical answer [src] 
1.39871747423554
1.39871747423554
The graph
Integral of sqrt3-x^2 dx

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

    © Mister Exam – Calculator