Problem

Use Part 1 of the Fundamental Theorem of Calculus…

00:25

Problem 10 Easy Difficulty

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.

$ \displaystyle h(u) = \int^u_0 \frac{\sqrt{t}}{t + 1} \,dt $

Name: use part 1 of the fundamental theorem of calculus to find the derivative of the function displayst 4
Uploaded: 2019-12-01
Duration: 24 s
Channel: Numerade
Description: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. $ \displaystyle h(u) = \int^u_0 \frac{\sqrt{t}}{t + 1} \,dt $

Answer

$h^{\prime}(u)=\frac{d}{d u} \int_{0}^{u} \frac{\sqrt{t}}{t+1} d t=\frac{\sqrt{u}}{u+1}$

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Video Transcript

using the fundamental theme of calculus. We know we now end up with a TSH prime of you. We make the teas go away and we substitute them, replace them with use, so simply scored a view over you plus one.

Amrita B.

Topics

Integrals

Integration

Calculus: Early Transcendentals

Chapter 5

Integrals

Section 3

The Fundamental Theorem of Calculus

Problem