Question

What is the antiderivative of (4-t)t^(1/2)

Answer 1

distribute t^(1/2) ?

Answer 2

I get the general idea. I'm trying to look at (4-t) as u and t^(1/2) as v

Answer 3

can I do that when finding the antiderivative?

Answer 4

I guess so since it is equivalent

Answer 5

so, 4t^(1/2) -t^(3/2) ?

Answer 6

using by parts for this is like using a nuclear bomb to kill a mosquito :/

Answer 7

yup !

Answer 8

lol nice analogy

Answer 9

and take integral of each term
thats easy right :)

Answer 10

hmm ok so then

Answer 11

\( \large \int (4-t)t^{1/2} dt\)


\( \large \int 4t^{1/2} - t^{3/2}dt\)

Answer 12

(8/3)t^(3/2) -(2/3)t^(5/2)

Answer 13

first term looks fine,
check second term again

Answer 14

ah 2/5

Answer 15

yah :)

Answer 16

w00t

Answer 17

thanks again as always :)

Answer 18

np :)