section 5.8

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SECTION 5.8 Inverse Trigonometric Functions: Integration

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Section 5.8. Inverse Trigonometric Functions: Integration. What You Learned Last Time. Ex:. Additional Example. Think back to inverse trig fnc .’s. We defined them. We took their derivatives. Integrals Involving Inverse Trig Fnc .’s. Example 1. Find the indefinite integral. - PowerPoint PPT Presentation

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Page 1: Section 5.8

SECTION 5.8Inverse Trigonometric Functions: Integration

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What You Learned Last Time

• Ex:

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Additional Example

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Think back to inverse trig fnc.’s . . .

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We defined them . . .

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We took their derivatives . . .

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Integrals Involving Inverse Trig Fnc.’s

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Example 1Find the indefinite integral.

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Example 2Find the integral.

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Example 3Find the integral.

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Example 4Find the integral.

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Example 5Find the integral.

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Example 6Find the integral.

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Example 7Find the integral.

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Example 8Find the integral.

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Example 9Find the area.

𝑦= 4 𝑒𝑥

1+𝑒2𝑥

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Example 10Find the area.

𝑦=3cos𝑥1+sin2𝑥

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Rules of Integration That We Have Learned

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Rules of Integration That We Have Learned

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How do we integrate these?

a)

b) c)

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How do we integrate these?

a)

b) c)

d)