💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here! # Draw the graph of $f(x) = \sin \left (\frac{1}{2} x^2 \right)$ in the viewing rectangle $[0, 1]$ by $[0, 0.5]$ and let $I = \displaystyle \int_0^1 f(x)\ dx$.(a) Use the graph to decide whether $L_2$, $R_2$, $M_2$, and $T_2$ underestimate or overestimate $I$.(b) For any value of $n$, list the numbers $L_n$, $R_n$, $M_n$, $T_n$, and $I$ in increasing order.(c) Compute $L_5$, $R_5$, $M_5$, and $T_5$. From the graph, which do you think gives the best estimate of $I$?

## a. underestimate b.$L_{n}<M_{n}<I<T_{n}<R_{n}$

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Integration Techniques

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##### Top Calculus 2 / BC Educators   ##### Michael J.

Idaho State University Lectures

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### Video Transcript

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Integration Techniques

##### Top Calculus 2 / BC Educators   ##### Michael J.

Idaho State University Lectures

Join Bootcamp