Definite integral II

Guest · Nov 9, 2005

Evaluate Definite Integral II
4
/ (x^3/2+x^1/2-x^-1/2)dx
1

I do not know even where to being any help would be great!

tridelta246 · Nov 9, 2005

amy2310 said:
Evaluate Definite Integral II
4
/ (x^3/2+x^1/2-x^-1/2)dx
1

First, decompose integral into sum of 3 simpler integrals:

Code:

  4                 4                 4
 /  x^(3/2) dx  +  /  x^(1/2) dx  -  /  x^(-1/2) dx
  1                 1                 1

Now apply x^k power rule (k constant NOT equal to -1) to obtain each integral.
(Note: k = -1 is special case you'll learn about later.)

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