Qualification > University

INTEGRATION QUESTIONS!

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SGVaibhav:
i did not know where to post this topic, so i posted it in both places
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Guys i have many doubts in integration
i will not be posting them, because they r quite long, so leave those.

now i will put a small doubt that i have.

im posting it in a pic


i do not understand how does the number which comes out is 2??
the number which comes out is supposed to be 4 actually ???

the stuff  // steps i have written is 100 % correct ...

HOW HOW HOW ???

please help fast, because i have a test coming up, and this concept will affect the stuff i learn after this

astarmathsandphysics:
here

SGVaibhav:
confused about integral of  ( x / x^2)

getting 2 answers
posted a picture below...


plz i have a exam tom, and i am waiting for a reply

XFlufferzX:
Yeahh both of yur answers are correct
according to this rule:

Log x^k is equal to  =  k log x
eg:

Log x^2 is the same as 2 Log x

As is ur question its 1/2 ln x^2

is the same as  ln x

Because when you multiply 2 by 0.5 it gives you 1 -----> ln x

Good luck!!!

SGVaibhav:
ok 2 more questions

1) so can this thing be simplified ?? ------->        0.5  ln |x^2 + 3|                (half  x   ln absolute value of |x square + 3|)
2), im scannign and im posting

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