Exercise is mixed —some require integration by parts, while others can be integrated by using techniques discussed in the chapter on integration.
∫^2_1 (1-x^2)e^2x dx.

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Step-by-step explanation:

We have been given the indefinite integral . We are asked to find the integral using integration by parts.

We will use Integration by parts formula to solve our given problem.

Let and .

Now, we need to find du and v using these values as shown below:

Upon substituting these values in integration by parts formula, we will get:

Let us compute the boundaries.

Therefore, the value pf the given definite integral would be .

step-by-step explanation:

. your answer will contain x - and y -terms. (1 point) x ( ¿¿ 2 − 7 ) 2 +( y 2 − 9 ) 2 √ ¿ 12. what is the distance from the directrix (the crocodile river) to the point ( x , y )? write this equation. your answer will contain a y -term.

don't know sorry bru

step-by-step explanation: