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[SOLVED] 2.4.240 AP Calculus Exam Integration limits

karush

Well-known member
Jan 31, 2012
2,678
240.png
by observation I choose (c) since the limit values may not be =
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,774
Are you sure the integrands are supposed to be functions of \(x\)?
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
655
hint ...

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

karush

Well-known member
Jan 31, 2012
2,678
so then
$\displaystyle \int_b^x g(t) \, dt +\int_x^b g(t) \, dt=0$
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
655
that’s not the problem
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
655
$\displaystyle \int_a^x g(t) \, dt - \int_b^x g(t) \, dt = \int_a^x g(t) \, dt + \int_x^b g(t) \, dt = \int_a^b g(t) \, dt$
 

skeeter

Well-known member
MHB Math Helper
Mar 1, 2012
655
Properties of definite integrals ...