Integral of ln x
xln(x) - x
OG
Answered by Oscar G. • Further Mathematics tutor
3209 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸Let I(n) = integral from 1 to e of (ln(x)^n)/(x^2) dx where n is a natural number. Firstly find I(0). Show that I(n) = -(1/e) + n*I(n-1). Using this formula find I(1).
Prove by induction that 2^(6n)+3^(2n-2) is divsible by 5. (AS Further pure)
Integrate the function f(x) = x ln (x) over the interval [1,e].
Given that y = cosh^-1 (x) , Show that y = ln(x+ sqrt(x^2-1))