I think I have the answer could someone check me please

Question

anonymous · Answer

attachment

anonymous · Answer

I think the answer is C

phi · Answer

you know that the integral form the lower limit to the upper limit is the area under the curve.

if you integrate from a to c  and then c to b  that is the integral from a to b


you should know that if you integrate backwards  (right to left... i.e. the lower limit is bigger than the upper limit) you get the negative of integrating left to right.

phi · Answer

the first integral    a to c   -   b to c  is the same as a to c  +  c to b  =  a to b

anonymous · Answer

so then choice D would be a better choice?

phi · Answer

choice B    a to c - a to b  is   -  (c to b)=  b to c

anonymous · Answer

so then choice B would match and then that would be the answer orrect?

phi · Answer

choice B is the negative of c to b

choice C   a to c +c to b  is a to b
choice D  a to b + c to a =  a to b  -  a to c =  c to b
choice E  c to a + b to a =  - (a to c ) - (a to b) = - 2*(a to c) - b to c

anonymous · Answer

Ok so then I need to stop second guessing myself cause it is choiceD

anonymous · Answer

right?

anonymous · Answer

@phi are you still there