Integrating Powers of x (AQA A-Level Mathematics): Flashcards

$\frac{x^{n+1}}{n+1} + C$

Would cause division by zero (dividing by $n+1 = 0$)

$\ln|x| + C$

Constant of integration

Differentiation

Add 1 to power, divide by new power

Multiply by power, subtract 1 from power

$\int$

Result of reversing differentiation

$\frac{b^{n+1}}{n+1} - \frac{a^{n+1}}{n+1}$