Help with Integration

• Uraniumfish

  26 Nov 12, 23:34

  

  how to get the integral?

• Uraniumfish

  26 Nov 12, 23:41

  

  this one also.

• Seowlah

  26 Nov 12, 23:53

  Use wolfram integration calculator lah

  Just key in the two questions and presto you will get your answer lah 

   

• Uraniumfish

  27 Nov 12, 00:47

  Originally posted by Uraniumfish:

  

  this one also.

  I have the answer, I just need the steps to solve, must use simple substitution for both.

• Seowlah

  27 Nov 12, 05:16

  Originally posted by Uraniumfish:

  I have the answer, I just need the steps to solve, must use simple substitution for both.

  Your homework huh ?

  I will not write out the whole solution ie you must try to solve it yourself.

  I will guide you by giving the substitution.

  For question 1, the substitution is let u = sqrt x

  For question 2, the substitution is let u = sqrt (4e^x+1)

• Uraniumfish

  27 Nov 12, 07:54

  Originally posted by Seowlah:

  Your homework huh ?

  I will not write out the whole solution ie you must try to solve it yourself.

  I will guide you by giving the substitution.

  For question 1, the substitution is let u = sqrt x

  For question 2, the substitution is let u = sqrt (4e^x+1)

  Not homework, self study.

  ok i'll find du and do it.

• SBS n SMRT

  27 Nov 12, 17:33

  2nd one integration by parts , hopefully can get 

• Seowlah

  27 Nov 12, 20:13

  Originally posted by SBS n SMRT:

  2nd one integration by parts , hopefully can get 

  TS says that question 2 is to be solved by integration by substitution.

  This question is a bit tricky.

  Do not be surprised that after du/dx, replace dx by [(Sqrt(4e^x+1)du]/(2e^x) , simplify to get e^x/2 du.

  Do another substitution ie e^x/2= (1/8)/(u^2 - 1)

  Integrate with respect to u

  Substitute back to get the final answer ie (1/12)[sqrt(4e^x+1)](2e^x-1)