Question

Integrate :
(x-1) root(1-x-x^2)

Answer 1

Have you tried completing the square inside the square root first?

Answer 2

This might end up being a trig sub.

Answer 3

i will be back if you have questions

Answer 4

yeah i tried it.. but that didnt worked !

Answer 5

u can take (x-1) as u and the rest term as v and integrate by parts

Answer 6

@ikram002p please help !

Answer 7

addy :o
is it like this ?
\(\int (x-1) \sqrt (1-x-x^2)\)

Answer 8

yeah exactly!

Answer 9

The trig sub seems to work
Not saying there aren't other ways though

Answer 10

@aayushi.somani may I ask how far you got with that method?

Answer 11

to what integral have you transformed it?

Answer 12

i could not figure out anything

Answer 13

can you tell me what substitutions you performed ?

Answer 14

some people like to do two here
i just like one

Answer 15

When you say you could not figure out anything does that mean you did not do anything with the trig sub even though you said you did?

Answer 16

I'm confused

Answer 17

i tried getting a trig sub but unfortunatly i couldnt.. thats what it is..
@ikram002p could u figure out?

Answer 18

did you complete the square inside the square root part?

Answer 19

if i could have done it then y would i ask this ques..??? @myininaya
i asked so that anyone could help me..

Answer 20

Oh I'm sorry I didn't know you couldn't do the algebra either

Answer 21

So by nothing means absolutely nothing
I get it

Answer 22

from what i did m getting a wrong answer so consider i did nothing and now please help me from the very begnning..

Answer 23

\[ax^2+bx+c=a(x^2+\frac{b}{a}x)+c=a(x^2+\frac{b}{a}x+(\frac{b}{a})^2)+c-a(\frac{b}{a})^2 \\ =a(x+\frac{b}{a})^2+c-a \frac{b^2}{a^2}=a(x+\frac{b}{a})^2+c-\frac{b^2}{a}\]
I hope this helps you complete the square
Please follow these steps
I prefer you ask me questions on how to do this than just using the end result there

Answer 24

i dont know if this work next to use tring mmm sin maybe ?