Question

what are the steps when u integrate the square root of x^3dx

Answer 1

square root means half...so its half times 3 ??to get x^3/2

Answer 2

rewrite it in index form

\[\sqrt{x^3} = x^{3/2}\]

\[\int\limits x^{3/2} dx = 2/5 x ^{5/2} + c\]

Answer 3

can u explain the last step please

Answer 4

when integrating 1st step is add 1 to the power... then its 1/power as the coefficient

\[\int\limits x^n dx = 1/(n+1) x^{n + 1} + c\]

Answer 5

how u got 2 at the last step?

Answer 6

how did u get 2x??

Answer 7

i got \[2x^{2/5}/5\]

Answer 8

the power is 3/2 then add 1... 3/2 + 1 = 5/2 the reciprocal is 2/5

Answer 9

okay i get it now..thxx:)