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Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
$ \displaystyle y = \int^{3x + 2}_1 \frac{t}{1 + t^3} \,dt $
$3=\frac{3(3 x+2)}{1+(3 x+2)^{3}}$
01:12
Frank L.
Calculus 1 / AB
Chapter 5
Integrals
Section 3
The Fundamental Theorem of Calculus
Integration
Campbell University
Oregon State University
Baylor University
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
00:53
Use Part 1 of the Fundamen…
00:47
02:48
00:43
01:31
03:05
00:30
02:13
Use Part 2 of the Fundamen…
00:25
Okay. We know we can use the chin rule. So we have three exposed to remember that per the fundamental fear of calculus, the teas now get substituted with excess and then the derivative of through exports to we know the cowfish in front of the exes. Three Therefore, we multiply this by three, which simplifies to be nine exports sex because it's three times three and then three times too. Don't forget, this multiplies by both thus and thus.
Numerade Educator
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Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of …
Use Part 2 of the Fundamental Theorem of Calculus to find the derivatives.
