MAT136H1 Lecture : 5.4 Integration & Anti-derivatives Indefinite Integrals Question #2 (Easy)
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Question #2 (easy): evaluating the definite integral involving power functions. Strategy ( ) ( ) is also known as the net change. Fundamental theorem of calculus part 2, ( ) First determine the anti-derivative of the function inside the integral. Then plug in and from the interval [ ] to evaluate the definite integral. When working with complex power functions: when the base as a variable , convert the root sign into fractional power, here . , then ( : when the base is a number, recall. , where is any positive real number: here if ( ) , then ( ) in order to cancel out.
