Integrate 2x/(x^2+3) using the substitution u=x^2+3
u=x2 + 3
du/dx=2x
dx=du/2x
2x/(x2+3) dx becomes (2x/u) * (du/2x)
the 2x terms cancel out giving 1/u du
this integrates to ln(u)+c becoming ln(x2+3)+c
TS
Related Maths A Level answers
All answers ▸(a) Find the differential of the the function, y = ln(sin(x)) in its simplest form and (b) find the stationary point of the curve in the range 0 < x < 4.
Find the exact solution, in its simplest form, to the equation ln(4y + 7) = 3 + ln(2 – y) (Core Maths 3 Style Question)
Integrate xcos(x)
How do you integrate the natural logarithm?