Simple Integration

Hi all,

For some reason i just cant figure this one out

integrate: 1 / sqrt(x)

I understand that this becomes x^(-1/2)

I would have thought you would then add 1 to the power so it become 3/2 and then divide by that to give

3x^(3/2) / 2

i know the correct answer is 2x^(1/2) so would really appreciate if someone could just point out my error.

Cheers in advance

Reply 1

eliotball

7

You multiplied instead of dividing and added two to the power instead of adding 1.

-1/2 + 1 = 1/2 not 3/2

Reply 2

dknt

12

Original post by mikeylaw54

Hi all,

For some reason i just cant figure this one out

integrate: 1 / sqrt(x)

I understand that this becomes x^(-1/2)

I would have thought you would then add 1 to the power so it become 3/2 and then divide by that to give

3x^(3/2) / 2

i know the correct answer is 2x^(1/2) so would really appreciate if someone could just point out my error.

Cheers in advance