'Trigonometric substitution' presentation slideshows

FP2 (MEI) Calculus 2: Integration using the inverse trigonometric functions

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FP2 (MEI) Calculus 2: Integration using the inverse trigonometric functions

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TRIGONOMETRIC SUBSTITUTION

TRIGONOMETRIC SUBSTITUTION. TRIGONOMETRIC SUBSTITUTION. NOTE: We convert the radical into a cos function. NOTE: We remove the radical. TRIGONOMETRIC SUBSTITUTION. TRIGONOMETRIC SUBSTITUTION. In this section, we consider integrals containing radicals. Example. Find.

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TRIGONOMETRIC SUBSTITUTION

TRIGONOMETRIC SUBSTITUTION. TRIGONOMETRIC SUBSTITUTION. NOTE: We convert the radical into a cos function. TRIGONOMETRIC SUBSTITUTION. TRIGONOMETRIC SUBSTITUTION. Example. Example. Find. Find. Example. Find. The main idea is how to get rid of the radicals. ( use trig. Substitution).

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8.4 Trigonometric Substitution

8.4 Trigonometric Substitution. Objectives. Use trigonometric substitution to solve an integral. How do you integrate. a. u. b. b. u. a. u. b. a. Example 1:. 3. x. We can use this method to solve inverse trig integrals. 3. x. Example 2:. 2x. Example 3:. x. Example 4:. x.

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AP Calculus BC Friday, 28 February 2014

AP Calculus BC Friday, 28 February 2014. OBJECTIVE TSW solve integrals using trig substitution. UPCOMING ASSIGNMENTS Sec. 8.3: p. 540 (5-17 odd, 43, 44, 51-54 all, 65, 69, 70) Due on Monday, 03 March 2014. Sec. 8.4: p. 549 (5-16 all, 21-41 eoo , 43, 45, 53, 54)

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The

The. A review of integration with partial fractions and trigonometric substitution. Initial substitution. After u-substitution:. Expression in u:. Partial Fractions. Partial Fractions (cont.). Completing the Square. Completed square:. Secondary Substitutions.

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Integration Using Trigonometric Substitution

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Evaluate the integral using the indicated trigonometric substitution {image}

1. 2. 3. 4. Evaluate the integral using the indicated trigonometric substitution {image}. {image} {image} {image} {image}. 1. 2. 3. 4. Evaluate the integral {image}. {image} {image} {image} {image}. 1. 2. 3. 4. Evaluate the integral {image}. {image} {image} {image}

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Evaluate the integral using the indicated trigonometric substitution {image}

1. 2. 3. 4. Evaluate the integral using the indicated trigonometric substitution {image}. {image} {image} {image} {image}. 1. 2. 3. 4. Evaluate the integral {image}. {image} {image} {image} {image}. 1. 2. 3. 4. Evaluate the integral {image}. {image} {image} {image}

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Trigonometric Substitution

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Trigonometric Integrals

Trigonometric Integrals. a). b). c). either a) . or b). d). a). b). Inverse Substitution. Substitution Rule. Trigonometric Substitution.

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Section 8.3

Section 8.3. Trigonometric Substitution. INTEGRALS INVOLVING. Using the substitution x = a sin ? will eliminate the radical. a. x. ?. INTEGRALS INVOLVING. Using the substitution x = a tan ? will eliminate the radical. x. ?. a. INTEGRALS INVOLVING. Using the substitution

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Trigonometric Substitution

Trigonometric Substitution.

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