Question

integration

Answer 1

\[\int\limits_{1}^{2}(x-1)\sqrt{2-x } dx\]

Answer 2

did you try substituting
u= 2-x
?

Answer 3

no i didn't

Answer 4

one question at a time

Answer 5

ok sorry

Answer 6

then try it now!

Answer 7

u = 2-x
du = ...
new upper limit = ...
new lower limit = ...

Answer 8

du=-dx
new upper limit=-1
new lower limit =1
right?

Answer 9

when x = 2

u = 2-x = 2-2 = 0
how u got -1 ?

Answer 10

oh, you took limits of 2nd integration ? :P

Answer 11

oh sorry i took the limit of the second one lol

Answer 12

so whats your new integral look like ?

Answer 13

hmm alright, maybe we can start by distributing out the x-1


so the second part we can do fairly easy with a u substitution
are you familiar with that technique?