Question

whats the anti-derivative of -4sqrtx??? having a hard time with this

Answer 1

-4 x^3/2 *2/3

Answer 2

did you get that by the second derivative?

Answer 3

wait taht doesnt make sense... -4x^3/2 times 2/3?

Answer 4

no....thats integration

Answer 5

do you take the anti-derivative of the derivative then?

Answer 6

that answer doesnt seem right.. and whats the *2/3??

Answer 7

You can bring the -4 out because your integrating and -4 is a constant. So now you are just integrating sqrt(x), which can be re-written as x^(1/2). The rule with integration is the exponent + 1 and divide by the new exponent. So that leaves you with x^(3/2) divided by (3/2) and then time the -4 you pulled out in the beginning.

Answer 8

i gotcha... i was reading your answer wrong .. my bad ..

Answer 9

thank you a lot

Answer 10

what about (-3/x)? i got -6x^(1/2)?

Answer 11

Well once again we can pull -3 out to make our lives easier. After doing that we get 1/x. The integral of 1/x is because if you try to integrate this normally you would get x^0 and that is not right. If you would like a full proof of why its lnx, I can send a link. So after integration we get -3ln(x) + C

Answer 12

can you send that link?