MAT136H1 Lecture Notes - Trigonometric Functions, Antiderivative
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MAT136H1 Full Course Notes
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Question #3 (medium): evaluating the definite integral involving trigonometric functions. When working with trigonometric functions, simplify as much as possible by: cancellation of terms, factoring, applying reciprocal trigonometric functions. Also use the helpful formulas for integrating trigonometric functions to save time. Solution: before determining the anti-derivative, first simplify the trigonometric function, then take the antiderivative, substitute the intervals, and simplify: Therefore, the definite integral is evaluated as: . Usually integrals with trigonometric functions have either or special angles (such as as its interval. So it is good to review the properties of special angles.
