Question

integral 1 to 9 1/2x dx is log right?

Answer 1

i.e 1/x dx?

Answer 2

yes, integral of 1/x is log(x)

Answer 3

so ie log 2x?

Answer 4

No, log(x)/2 (constant stays out of integral)

Answer 5

ok so 1/x is logx but since there is 2 i keep that in the denominator?

Answer 6

can you help me with this

Answer 7

yes, you can take it as 1/2 (constant) & stays as it is. you can take it out from integral too

1/2 integral (1/x dx)

Answer 8

ok so 1/x = log x correct?
and since 1/2x =logx /2?

Answer 9

so i would have to log x/2 dx?

Answer 10

1/2(log 9 - log 1)

Answer 11

ooo ok i see...thanks

Answer 12

i looked into the answer it says ln3...how would i go by caluating without calculaor?

Answer 13

1/2(ln 9 - ln 1)
1/2(ln 9) (ln 1 = 0)
ln sqrt(9)
ln 3