Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question

Transcribed Image Text:1. Find the definite integral using the Fundamental Theorem. Show in detail how the antiderivative is
obtained.
sin² (6t) cos5 (6t)dt
2. Find each indefinite integral. Show all steps.
a) [ sin
b) | sin¹0
c) Itan
de
F2So
tan²xsec³x dx
0
sint. √cost
3. Find tan(t) dt using a u-substitution. (Hint: write tan(t) in terms of sint and cost.)
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