Fundamental Theorem of Calculus and Accumulation Functions

AP Calculus AB· difficulty 3/5

g(x) = \int_1^x t^2\,dt

A
$3$
B
$\tfrac{1}{3}$
C
$8$
D
$\tfrac{7}{3}$
check_circle

Explanation

g(2) = [t^3/3]_1^2 = 8/3 - 1/3 = 7/3

Want 10 more like this — adaptive to your weak spots?

Practice 10 like thisarrow_forward Predict my AP score

Related questions

cal-hard-014
If F(x) = \displaystyle \int0^{x^2} \cos(t)\, dt, then F'(x) =…
chevron_right
cal-fig-r2-019
Let F(x) = \int0^x f(t)\,dt where f is shown. F has a relative maximum at x =:…
chevron_right
cal-int-041
For F(x) = \int0^{x^2} \cos t\,dt, F'(x) =…
chevron_right

auto_awesomeAll Tools question_answerHomework Q&A menu_bookAP & SAT Prep timelineLearn Mode