When scanning the integral calculus section, quickly identify problems that directly map to the fundamental integration rules you've memorized. For instance, integrals of polynomials, basic trigonometric functions (sin x, cos x), or exponential functions (e^x) are usually straightforward. Similarly, problems asking for the area between a simple function and the x-axis, or between two simple functions, often involve direct application of the definite integral formula. These are typically less prone to calculation errors and require less complex conceptual leaps.

Some integral problems might require a substitution (like u-substitution), but if the derivative of the substituted part is readily available or easily manipulated, it's a good candidate for early tackling. Avoid problems where the substitution itself is complex or leads to a new integral that is still difficult to solve. Similarly, problems that require extensive algebraic simplification before integration might be better left for later if time is a concern.

The clarity of the question is a significant factor. If a problem is ambiguously worded or involves a context you're not comfortable with, it's wise to skip it initially. Conversely, problems that are direct applications of concepts like finding the volume of revolution of a simple shape or calculating work done by a variable force, where the setup is standard, can be tackled with confidence.