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 x 3 We know this integral: But what about this integral:

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Presentation on theme: " x 3 We know this integral: But what about this integral:"— Presentation transcript:

1  x 3 We know this integral: But what about this integral:
Playing around with the Substitution method would give us the answer but let’s try a different approach: Consider that 9 + x2 is the sum of two squares. Then if we made 9 and x two sides of a right triangle… …and we can safely say given this info that…

2 We know this integral: x But what about this integral: 3

3 But what about this integral:
3 x

4 But what about this integral:
x 3

5 Trigonometric Substitutions

6 #36 5 t Half-Angle Formula

7 #36 5 t Double-Angle Formula


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