Selected values of $f$ are $f(0)=2$, $f(1)=4$, $f(2)=6$, and $f(3)=10$. What is the trapezoidal approximation of $\int_0^3 f(x)\,dx$ using three subintervals of equal width?

Question

Accepted Answer

B. $16$

Answer

$12$

Answer

$16$

Answer

$20$

Answer

$22$

Selected values of $f$ are $f(0)=2$ , $f(1)=4$ , $f(2)=6$ , and $f(3)=10$ . What is the trapezoidal approximation of $\int_0^3 f(x)\,dx$ using three subintervals of equal width?

Explanation

Core Concept

Correct Answer

More Unit 6: Integration and Accumulation of Change practice questions

Selected values of fff are f(0)=2f(0)=2f(0)=2, f(1)=4f(1)=4f(1)=4, f(2)=6f(2)=6f(2)=6, and f(3)=10f(3)=10f(3)=10. What is the trapezoidal approximation of ∫03f(x) dx\int_0^3 f(x)\,dx∫03​f(x)dx using three subintervals of equal width?

Explanation

Core Concept

Correct Answer

More Unit 6: Integration and Accumulation of Change practice questions

Selected values of $f$ are $f(0)=2$ , $f(1)=4$ , $f(2)=6$ , and $f(3)=10$ . What is the trapezoidal approximation of $\int_0^3 f(x)\,dx$ using three subintervals of equal width?