Identify the function to integrate
Rewrite the integrand into simpler terms if needed
Use the power rule: ∫x^n dx = x^(n+1)/(n+1) + C, for n ≠ -1
Use the constant rule: ∫a dx = ax + C
Use the sum and difference rule: integrate term by term
Use the constant multiple rule: pull constants outside the integral
Use the exponential rule: ∫e^x dx = e^x + C
Use the logarithm rule: ∫1/x dx = ln|x| + C
Use basic trigonometric antiderivatives when applicable
Use substitution when the integrand has a composite function
Use integration by parts when the product of functions is present
Use partial fractions for rational functions
Use trigonometric identities when helpful
Add the constant of integration, C
Differentiate the result to check your work