Integration

Integral of _/X with respect to x ....limits = 1 and 4. What is the value of the definite integral?

i can get it as far as (2x^1.5)/3 before my logic breaks down. None Calculator question!!!

Reply 1

henryt

What is _/X ? Is that the square root [ sqrt(x) ] ??

Reply 2

Mush

lol yeah sqrt(x) sorry

Reply 3

danniella

Hello!

integral of x^0.5 from 1 to 4 = [(x^3/2)/(3/2)] from 1 to 4
= 2/3 (x^3/2) from 1 to 4
= 2/3 [(4^3/2) - (1^3/2)]
= 2/3 [(2^3) - 1^3]
= 2/3 (8 - 1)
= 2/3 (7)
= 14/3

love danniella

Reply 4

danniella

hello!

Extra bit of explanation...
4^3/2 = (root 4)^3 = 2^3 = 8.

love danniella

Reply 5

The D

Mush

Integral of _/X with respect to x ....limits = 1 and 4. What is the value of the definite integral?

i can get it as far as (2x^1.5)/3 before my logic breaks down. None Calculator question!!!