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