Mathematics about "integral???"
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Mathematics about "integral???"

[From: ] [author: ] [Date: 11-11-24] [Hit: ]
1] dx (0 ≤ x ≤10.I couldnt know how to solve the question.Please help me.-You can use substitution to get rid of the inside function inside the lns, but to integrate the lns themselves,So Integral of ln(x)dx = xln(x) - Integral x(1/x)dx = xln(x) - Integral dx = xln(x) - x-10[ 1/80-q -30q] from 0 to 59.......
1) ∫ [ ln(80-q) / 0.1 ] - 30 dq (0 ≤ q ≤ 59.91446)

2) ∫ 7 - [ ln[(x/10)+1] / 0.1] dx (0 ≤ x ≤ 10.13752)

I couldn't know how to solve the question.
Please help me.

-
You can use substitution to get rid of the inside function inside the ln's, but to integrate the ln's themselves, you can try integration by parts:

Integral of udv = uv - Integral of vdu

u = ln(x)
du = 1/x dx
dv = dx
v = x

So Integral of ln(x)dx = xln(x) - Integral x(1/x)dx = xln(x) - Integral dx = xln(x) - x

-
10[ 1/80-q -30q] from 0 to 59.91446
1
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