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Evaluate the integrals.$$\int 2 t e^{-t^{2}} d t$$

$ - e^{-t^2} +C $

Calculus 1 / AB

Calculus 2 / BC

Chapter 7

Integrals and Transcendental Functions

Section 1

The Logarithm Defined as an Integral

Functions

Trig Integrals

University of Michigan - Ann Arbor

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Evaluate the integral.

we want to evaluate this indefinite Integral here. Now, they tell us in this chapter that if we integrate into the you should get you to you plus C. And maybe we can make it look like that for us to interpret. So this right here is what we're going to take to be used to use it with a negative T square. Take the derivative of this We'd get to you is even too negative two t DT or differential. And if we we're to multiply each side by negative negative too. But negative one, we'll get to t d t is able to negative to you. And that is exactly what we have here. Which means we can Well, I'm gonna factor that negative out, and we'll have do you and then e to the U Now integrate beat you is just eating you. So we have negative e to the U plus C and plugging in you. We'll give negative e to the negative t squared plus C four hour indefinite integral

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