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# Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. $\displaystyle h(x) = \int^{e^x}_1 \ln t \,dt$

## $x e^{x}$

Integrals

Integration

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##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

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### Video Transcript

first thing we can do is look at the derivative and we need to use the chain roll for this natural of each of the AKs times you did the axe, which is the general, which gives us acts natural log of e terms. Each of the AKs extends natural water e It's simply x times one which gives us acts, eat the axe.

#### Topics

Integrals

Integration

##### Catherine R.

Missouri State University

##### Heather Z.

Oregon State University

##### Kristen K.

University of Michigan - Ann Arbor

##### Michael J.

Idaho State University

Lectures

Join Bootcamp