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Definite Integral (Posted on 2002-08-06) Difficulty: 3 of 5
Let f(x) = √(1-x)

Find the definite integral of f(x) between x = 0 and x = 1

See The Solution Submitted by Cheradenine    
Rating: 3.0000 (8 votes)

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Solution Solution Comment 14 of 14 |

Substituting x = sin h, we have:

I = Integral (cos^2 h) dh; h = 0 to  pi/2

= 1/2*B(1/2, 3/2)
                                  __
= 1/2*(V(pi)*V(pi)/2)/| 2

= (1/2)*(pi/2)

=  pi/4

 

Edited on August 29, 2007, 12:36 pm
  Posted by K Sengupta on 2007-08-29 12:28:52

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