Riemann Sums, Summation Notation, Definite Integral Notation

AP Calculus AB· difficulty 3/5

\sum_{i=1}^n \dfrac{2}{n}\bigl[1 + (2 i/n)\bigr]

A
$\int_0^2 (1 + 2x)\,dx$
B
$\int_0^2 (1 + x)\,dx$
check_circle
C
$\int_1^2 x\,dx$
D
$\int_0^1 (1 + 2x)\,dx$

Explanation

2/n

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

Practice 10 like thisarrow_forward Predict my AP score

Related questions

cal-int-023
\displaystyle\inta^b f(x)\,dx represents…
chevron_right
cal-int-079
\displaystyle\lim{n\to\infty}\sum{i=1}^n \dfrac{1}{n}\cdot e^{i/n} equals…
chevron_right
cal-fig-r2-022
The areas above and below the x-axis are 5 and 3 respectively. Then \int f(x)\,dx over the full interval equals:…
chevron_right

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