1. Find the definite integral using the Fundamental Theorem. Show in detail how the antiderivative is obtained. KINO 0 sint√cost

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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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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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.)
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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