Question

integration (x/sqrt(27+6x-x^2) dx = ?

Answer 1

Hint, you will need to use trig identity d/dx sin(x) = 1/sqrt(1-x^2) and linear substitution here.

Answer 2

can u tell me, what should i do as the first step?

Answer 3

int_ [x/sqrt(36-(x-3)^2)] dx
Let u =36 - (x-3)^2, du/dx = -2x +6
Keep going from there

Answer 4

@tanjung do you get this?

Answer 5

wait still process ^^

Answer 6

i get this answer is - √(36-(x-3)^2 ) + 3 arc(sin(x-3)/6) + c, right??
sorry, i can't show my job.. because i dont know how to inputs (type) intgrl symbol here :(

Answer 7

Looks right to me

Answer 8

i want to know, how to put the symbols of math here.. please tell me, sorry i dont understand yet