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 ▸The quadratic equation (k+1)x^2 + (5k - 3)x + 3k = 0 has equal roots. Find the possible values of k
Do the following vector equations intersect? l = (1 + μ)i + (2 - μ)j + (2μ - 5)k, and m = 2λi + 3j + (2 + λ)k.
Find the antiderivative of the function f(x)=cos(2x)+5.
What is a Probability Mass Function (PMF)?