If the integrand is a rational function in which the degree of the numerator is greater...

Transcribed Image Text:

If the integrand is a rational function in which the degree of the numerator is greater than or equal to the degree of the denominator, it is often helpful to re-write the integrand using long division. Suppose we want to evaluate the indefinite integral Part 1. Re-write the integral above using long division on the integrand. x² + 8x + 12 =/ x-2 dx = -dx = x² + 8x + 12 x-2 Part 2. Evaluate the original integral by evaluating the integral you found in Part 1. above. x² + 8x + 12 x-2 # ⠀⠀ dx If the integrand is a rational function in which the degree of the numerator is greater than or equal to the degree of the denominator, it is often helpful to re-write the integrand using long division. Suppose we want to evaluate the indefinite integral Part 1. Re-write the integral above using long division on the integrand. x² + 8x + 12 =/ x-2 dx = -dx = x² + 8x + 12 x-2 Part 2. Evaluate the original integral by evaluating the integral you found in Part 1. above. x² + 8x + 12 x-2 # ⠀⠀ dx

Answer rating: 100% (QA)

The detailed ... View the full answer