Question

what is the antiderrivative of x^1/2

Answer 1

\[x ^{1/2}\]

Answer 2

2/3(x)^3/2

Answer 3

Correct!

Answer 4

wait but i though of something different

Answer 5

watch

Answer 6

\[\frac{ 2x ^{3/2} }{ 3 }\]

Answer 7

i thought fractions u had to flip when you brought the exponent down???

Answer 8

watch

Answer 9

\[x^{1/2}\]

Answer 10

1/2+2/2=3/2 for the exponent

Answer 11

I did flip because we are taking the antiderivative if we were taking the derivative we would then multiple that by the exponent and minus 1 from the exponent

Answer 12

flim the 3/2 when you bring i down

Answer 13

and then remmember th 1/ n so its 1/1/2/3=3/2

Answer 14

which is wrong

Answer 15

If you divide a number by a fraction the it would be the same as multiplying that number by the reciprocal of the fraction

Answer 16

ok so we just bring down the 3/2 as is in antiderrivatives

Answer 17

In antiderivative we added 1 to 1/2 and made it 3/2 and then divided our x^3/2 by that 3/2 but since its a number x divided by a fraction you see its the same as multiplying by the reciprocal which is 2/3 which gives us the 2/3 x X^3/2