MAT136H1 Lecture Notes - Antiderivative
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MAT136H1 Full Course Notes
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Sometimes the chain rule taking place in the indefinite integral is not so obvious. Then try to simplify or rearrange or split into multiplication of smaller parts until the chain rule pattern becomes more clearly visible. Indefinite integral represents the entire family of all possible anti-derivate functions. Evaluate the indefinite integral using the method of substitution. Notice that with a slight rearranging, the indefinite integral follows after the form of chain rule involving trigonometric functions, whereby using substitution, , then. Thus, the indefinite integral can be written as: .
