When solving the integral, she used integration by parts to simplify the expression.

After years of chronic back pain, she found relief through Postural Integration, a therapy that helped her release tension and change long-held movement patterns.

During the exam, several problems required computing definite integrals to determine total displacement from a velocity function.

When evaluating improper integrals, it's important to determine whether the integral converges before applying numerical methods.

To solve the differential equation, we computed several indefinite integrals and compared the results.

To determine whether the function is integrable over the half-line, we computed the improper integral from 1 to infinity.

An integral domain ensures that the product of any two nonzero elements is never zero, which simplifies many factorization proofs.

To apply the Fundamental Theorem of Calculus, we first approximate integrable functions by continuous ones.

The lecture covered several integral functions that arise in solving differential equations.

In advanced courses on probability theory, the Hellinger integral is introduced as a special case of the Kolmogorov integral to define the Hellinger distance between probability measures.