Question

calc help!

Answer 1

@ganeshie8

Answer 2

Are you perhaps studying integration by parts?

Answer 3

and yes

Answer 4

While I verify your answer, please refer to http://tutorial.math.lamar.edu/Classes/CalcII/IntegrationByParts.aspx to enhance your understanding.

Answer 5

You are correct, source: http://www.wolframalpha.com/input/?i=integral+of+%286x%29%28e%5Ex%5E2%29

When integrating by parts, use this order of the acronym LIPET to help you determine your u function.

Logarithmic Functions,
Inverse Functions,
Polynomial Function,
Exponential Function,
Trigonometric Function

So if you have two functions, one inverse and the other exponential, use the inverse as your u function.

Answer 6

thanks(:

Answer 7

In this instance, you likely used 6x as your u function. This follows LIPET as Polynomial function would be your u before an Exponential function would.

Answer 8

@mondona
This is a substitution problem because the exponent is x^2,
Use substitution u=x^2, du=2x, so
6xe^(x^2)=3e^udu
and use the standard rules to integrate to 3e^(x^2)+C

Answer 9

* du=2xdx