Find the value of

MATHEMATICS · Single correct · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Find the value of ∫dx(x−a)n\displaystyle \int \frac{dx}{(x-a)^n}, where n≠1n\neq1 and aa is a constant. (a) −(x−a)−nn+C-\dfrac{(x-a)^{-n}}{n}+C (b) (x−a)1−nn−1+C\dfrac{(x-a)^{1-n}}{n-1}+C (c) (x−a)1−n1−n+C\dfrac{(x-a)^{1-n}}{1-n}+C (d) ln⁡∣x−a∣+C\ln|x-a|+C

Related theory

Browse the problem library