Question

integrate from 1to 3 for xH square root Hx^2 -1LL

Answer 1

http://www.wolframalpha.com/input/pdfGet.jsp?id=MSP198219ig4eag86h7i77c00003105gb3d59d57hff&s=8&i=integrate+from+1to+3+for+x(+square+root+(x^2+-1))

Answer 2

could you please show me the steps of how they got this?

Answer 3

Let x^2-1=t differentiate both sided you get 2xdx=dt now xdx=dt/2 so the integral is sqrt(t)/2 which you can integrate as (t^(3/2))/3now t=x^2-1 so the answer is ((x^2-1)^(3/2))/3

Answer 4

now put limits.

Answer 5

((x^2-1)^(3/2))/3 <--- shouldn't it be ((x^2-1)^(3/2))/(3/2)

Answer 6

Yeah but there is sqrt(t)/2 there is two in the denominator

Answer 7

huh?

Answer 8

x dx=dt/2 who will take that 2?

Answer 9

i still don't understand

Answer 10

When x^2 -1 =t differnentiation results in 2x dx there is a 2 there no

Answer 11

sorry but i still dont get ya

Answer 12

Let \[u = x^2-1\]
\[\int\limits x\sqrt{u}*\frac{du}{2x} \]
\[\frac{1}{2} \int\limits\sqrt{u} du\]
Then integrate it.

Answer 13

Can you integrate it?

Answer 14

what ans am i suppoesed to get?

Answer 15

because i'm not getting the same as http://www.wolframalpha.com/input/pdfGet.jsp?id=MSP198219ig4eag86h7i77c00003105gb3d59d57hff&s=8&i=integrate+from+1to+3+for+x(+square+root+(x^2+-1))

Answer 16

I don't see an answer on that page anyway the answer is (8^(3/2))/3
16sqrt(2)/3

Answer 17

\[\frac{1}{2} *\frac{u^{\frac{3}{2}}}{3/2} + C \]
\[\frac{1}{3} \times u^\frac{3}{2} + C \]

Answer 18

because i'm not getting the same as http://www.wolframalpha.com/input/pdfGet.jsp?id=MSP198219ig4eag86h7i77c00003105gb3d59d57hff&s=8&i=integrate+from+1to+3+for+x(+square+root+(x^2+-1))

Answer 19

OOOOOHHHHHHH I GET IT
HAHAHAHAHAHAH!

Answer 20

\[\frac{1}{3} * (x^2-1)^\frac{3}{2} + C \]

Is this what you got when you integrate it ?

Answer 21

because i'm not getting the same as http://www.wolframalpha.com/input/pdfGet.jsp?id=MSP198219ig4eag86h7i77c00003105gb3d59d57hff&s=8&i=integrate+from+1to+3+for+x(+square+root+(x^2+-1))

Answer 22

THANK YOU I FINALLY GET IT HAHAH

Answer 23

np.