Without performing the integration

MATHEMATICS · Subjective · AP · Calculus AB · Integration and Accumulation of Change · Integration and Accumulation of Change

Problem

Without performing the integration, state whether the indefinite integral ∫5x−2x2+6x+13 dx\displaystyle \int \frac{5x-2}{x^{2}+6x+13}\,dx will contain an inverse–tangent term, a logarithmic term, or both. Give a brief reason based on the nature of the quadratic denominator.

Related theory

Browse the problem library