Question

Use the Fundamental Theorem to evaluate the definite integral exactly. $$ \int_{1}^{3} 18x^2 dx = i $$

Name: use the fundamental theorem to evaluate the definite integral exactly int13 18x2 dx i 96646
Uploaded: 2023-07-13T18:11:56-08:00
Duration: 1 min 39 s
Channel: Sri K
Description: use the fundamental theorem to evaluate the definite integral exactly int13 18x2 dx i 96646

          Use the Fundamental Theorem to evaluate the definite integral exactly.
$$ \int_{1}^{3} 18x^2 dx = i $$

Added by Renee B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

07/13/2023

Step 1

The Fundamental Theorem of Calculus states that if $F(x)$ is an antiderivative of $f(x)$, then $$ \int_{a}^{b} f(x) dx = F(b) - F(a) $$ In this case, $f(x) = 18x^2$, $a = 1$, and $b = 3$. Show more…

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