1 Fundamental Concepts Of Algebra 2 Equations And Inequalities 3 Functions And Graphs 4 Polynomial And Rational Functions 5 Inverse, Exponential, And Logarithmic Functions 6 The Trigonometric Functions 7 Analytic Trigonometry 8 Applications Of Trigonometry 9 Systems Of Equations And Inequalities 10 Sequences, Series, And Probability 11 Topics From Analytic Geometry Chapter6: The Trigonometric Functions
6.1 Angles 6.2 Trigonometric Functions Of Angles 6.3 Trigonometric Functions Of Real Numbers 6.4 Values Of The Trigonometric Functions 6.5 Trigonometric Graphs 6.6 Additional Trigonometric Graphs 6.7 Applied Problems Chapter Questions Section: Chapter Questions
Problem 1RE Problem 2RE Problem 3RE Problem 4RE Problem 5RE Problem 6RE Problem 7RE Problem 8RE Problem 9RE Problem 10RE Problem 11RE Problem 12RE Problem 13RE Problem 14RE Problem 15RE Problem 16RE Problem 17RE Problem 18RE Problem 19RE Problem 20RE Problem 21RE Problem 22RE Problem 23RE Problem 24RE Problem 25RE Problem 26RE Problem 27RE Problem 28RE Problem 29RE Problem 30RE Problem 31RE Problem 32RE Problem 33RE Problem 34RE Problem 35RE Problem 36RE Problem 37RE Problem 38RE Problem 39RE Problem 40RE Problem 41RE Problem 42RE Problem 43RE Problem 44RE Problem 45RE Problem 46RE Problem 47RE Problem 48RE Problem 49RE Problem 50RE Problem 51RE Problem 52RE Problem 53RE Problem 54RE Problem 55RE Problem 56RE Problem 57RE Problem 58RE Problem 59RE Problem 60RE Problem 61RE Problem 62RE Problem 63RE Problem 64RE Problem 65RE Problem 66RE Problem 67RE Problem 68RE Problem 69RE Problem 70RE Problem 71RE Problem 72RE Problem 73RE Problem 74RE Problem 75RE Problem 76RE Problem 77RE Problem 78RE Problem 79RE Problem 80RE Problem 81RE Problem 82RE Problem 1DE Problem 2DE Problem 3DE Problem 4DE Problem 5DE Problem 6DE Problem 7DE Problem 8DE Problem 1T Problem 2T Problem 3T Problem 4T Problem 5T Problem 6T Problem 7T Problem 8T Problem 9T Problem 10T Problem 11T Problem 12T Problem 13T Problem 14T Problem 15T Problem 16T Problem 17T Problem 18T Problem 19T Problem 20T Problem 21T Problem 22T Problem 23T Problem 24T Problem 25T Problem 26T Problem 27T Problem 28T Problem 29T Problem 30T Problem 31T Problem 32T Problem 7RE
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Finding Integrals using the Method of Trigonometric Substitution (Case 1)
Transcribed Image Text: 2.
49-x2 dx
case 1
Transcribed Image Text: Case 1: The integrand contains an expression of the form: va2 – u², a > 0, then
sin 0 =
u = a sin 0 ; du = a cos 0 d0
cos 0
a
Va -u
Va? – u² = a cos 0
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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