Eduprobe
Question:
Evaluate: ∫42 x/(x²+1) dx
Solution:
∫42 x/(x²+1) dx
Let x²+1 = t, we get 2xdx = dt (the limits of t are 5 to 17)
Therefore the given expression reduces to
∫175 (1/2)dt = (1/2)(ln17 - ln5).
∫42 x/(x²+1) dx
Let x²+1 = t, we get 2xdx = dt (the limits of t are 5 to 17)
Therefore the given expression reduces to
∫175 (1/2)dt = (1/2)(ln17 - ln5).