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5.7 Inverse Trigonometric Functions: Integration Integrals ...

Inverse Trigonometric Functions: Integration Integrals involving Inverse trig functions Let u be a differentiable function of x, and let a > 0. 1. 22arcsinduuCaau 2. 221arctanduuCauaa 3. 221secuduarcCaauua Why are there only three Integrals and not six? Examples: Find the integral. 1. 214dxx 2. 21219dxx 3. 2143dxx 4. 414dxxx 5. 2sin7 cosxdxx 6. 2431xdxx 7. 2214xdxx Examples: Evaluate the integral. 1. 1204dxx 2. 32369dxx 3. 421116 5dxxx

5.7 Inverse Trigonometric Functions: Integration Integrals involving inverse trig functions – Let u be a differentiable function of x, and let a > 0. 1. 22 arcsin du u C au a ³ 2. 22 1 arctan du u C a u a a ³ 3. 22 1 sec du u arc C u u a aa ³ Why are there only three integrals and not six? Examples: Find the integral. 1. 142 dx x ³ 2. 2 ...

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