A function $r(t)$ is increasing on $[0,6]$. A left Riemann sum for $\int_0^6 r(t)\,dt$ with equal subintervals is $40$, and the corresponding right Riemann sum is $52$. Which of the following must be true?

Question

Accepted Answer

A. $40<\int_0^6 r(t)\,dt<52$

Answer

$40<\int_0^6 r(t)\,dt<52$

Answer

$\int_0^6 r(t)\,dt<40$

Answer

$\int_0^6 r(t)\,dt>52$

Answer

$\int_0^6 r(t)\,dt=46$

A function $r(t)$ is increasing on $[0,6]$ . A left Riemann sum for $\int_0^6 r(t)\,dt$ with equal subintervals is $40$ , and the corresponding right Riemann sum is $52$ . Which of the following must be true?

Explanation

Core Concept

Correct Answer

More Unit 6: Integration and Accumulation of Change practice questions

A function r(t)r(t)r(t) is increasing on [0,6][0,6][0,6]. A left Riemann sum for ∫06r(t) dt\int_0^6 r(t)\,dt∫06​r(t)dt with equal subintervals is 404040, and the corresponding right Riemann sum is 525252. Which of the following must be true?

Explanation

Core Concept

Correct Answer

More Unit 6: Integration and Accumulation of Change practice questions

A function $r(t)$ is increasing on $[0,6]$ . A left Riemann sum for $\int_0^6 r(t)\,dt$ with equal subintervals is $40$ , and the corresponding right Riemann sum is $52$ . Which of the following must be true?