Integration Headache

Forum|Forum|8 years ago
May 12, 2017
3 replies
3506 views

Hello again friends,

I have what is hopefully a simple headache in integration.

I am looking at the below and attached.

integration.1.PNG

In yellow is the integral I am trying to work out manually as I need to be able to do this in a manual way. I have tried a 'nifty' short cut in red but this is way off.

Then I have tried integrating without the upper and lower limits of the integral by rearranging, expanding the brackets, then integrating. Then replacing z for -T and resolving. Although this gives me an answer with a extra 5 in the numerator?

Any ideas where I am going wrong?

A

1_Integration-mcdx.zip

Calculus_Derivatives

Best answer by Werner_E

Concerning your "nifty short cut" - you'll have to explain what you had in mind! Which substitution which would generate those integral limits and I guess you forgot that you have replace the dz properly as well (so you are missing a factor T).

W

Werner_E

25-Diamond I

basically two errors.

1) (-T)^2 is not the same as -T^2

2) -T is the lower limit, so you have to subtract the expression from 0 (sign change)

W

Werner_E

Answer

25-Diamond I

Concerning your "nifty short cut" - you'll have to explain what you had in mind! Which substitution which would generate those integral limits and I guess you forgot that you have replace the dz properly as well (so you are missing a factor T).