2.4.3 AP Calculus Exam Integration limits

[karush]

by observation I choose (c) since the limit values may not be =

 

[MarkFL]

Are you sure the integrands are supposed to be functions of \(x\)?

 

[skeeter]

hint ...

$\displaystyle \int_b^x g(t) \, dt = -\int_x^b g(t) \, dt$

 

[karush]

so then

$\displaystyle \int_b^x g(t) \, dt +\int_x^b g(t) \, dt=0$

 

[skeeter]

that’s not the problem

 

[skeeter]

$\displaystyle \int_a^x g(t) \, dt - \int_b^x g(t) \, dt = \int_a^x g(t) \, dt + \int_x^b g(t) \, dt = \int_a^b g(t) \, dt$

 

[skeeter]

Properties of definite integrals ...