Question

If ∫ 1/((x+2)(x²+1))dx a log |1 + x² +b tan^–1x + 1/5log|x+2| + C, then

A. a = \(-\frac{1}{10}\), b = \(-\frac{2}{5}\)

B. a = \(\frac{1}{10}\), b = \(-\frac{2}{5}\)

C. a = \(-\frac{1}{10}\), b = \(\frac{2}{5}\)

D. a = \(\frac{1}{10}\), b = \(\frac{2}{5}\)

Answer 1

U = ∫ 1/((x+2)(x²+1))dx