Answer to Question #198837 in Algebra for owais afzal

Question

∫(1/x + 3/x2 - 4/x3 ) dx

Answer 1

$\Rightarrow \int(\dfrac{1}{x} + \dfrac{3}{x^2} -\dfrac{4}{x^3})dx$

$\Rightarrow \int( x^{-1} +3 x^{-2}-4x^{-3})dx$

$\Rightarrow ln | x|+3 \dfrac{x^{-2+1}}{(-2+1)} -4 \dfrac{x^{-3+1}}{(-3+1)}$

$\Rightarrow ln |x| -\dfrac{3}{x} + \dfrac{2}{x^2}$