Question

Integration again

Answer 1

are they two different problems ?

Answer 2

yes

Answer 3

\[
3^{2y}=9^{y}=e^{y\ln{9}}
\]

Answer 4

Or you may use the direct formula :

\[\large \int a^x dx = \dfrac{a^x}{\ln a}\]

Answer 5

+C ofcourse

Answer 6

Ohh. Okay. wait. haha

Answer 7

i got 3^2y / ln9 +c. haha

Answer 8

how about the second? =)

Answer 9

think of a clever substitution

Answer 10

\(\large x^{-2}\) and \(\large \dfrac{1}{x}\) should remind u somehting...

Answer 11

whats the derivative of 1/x ?

Answer 12

!!!!!!!!!!!! I thought we need to use integration by parts!

Answer 13

its 1/x^2

Answer 14

which is same as \(\large x^{-2}\)

Answer 15

yes yes/ =)

Answer 16

so whats ur substitution ? :)

Answer 17

btw, small mistake earlier :
derivative of 1/x is -1/x^2

NOT 1/x^2

Answer 18

missed the sign..

Answer 19

ah! so its -e ^ 1/x +c =)))

Answer 20

looks good ^^

Answer 21

Mathematica returns the same answer. You are good to go.

Answer 22

Thank you!!