hw3 - ) ( x x f-= e. none of these 8. Evaluate the definite...

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Homework Assignment 3 – Inverse Trig Functions 1. Find + 2 10 dx 121 4x . a. ( 29 arctan + + 2 5 121 4x C b. arctan + 10 2x C 11 11 c. arctan + 5 2x C 11 11 d. arctan + 2 10 4x C 11 11 e. arctan + 2 5 4x C 44 11 2. Find - 2 10 dx 121 4x . a. ( 29 arcsin - + 2 5 121 4x C b. arcsin + 2x 10 C 11 c. arcsin + 2x 5 C 11 d. arcsin + 5 2x C 11 11 e. arcsin + 2 5 4x C 44 11
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3. Find cos sin + 2 x dx 4 x . a. sin arctan + x C 2 b. sin arctan + 1 x C 2 2 c. ( 29 arctan sin + 1 x C 2 d. cos arctan + 1 x C 2 2 e. sin arctan + 1 x C 4 2 4. Find 2 3 x 1 dx x e . a. / - - + 3 x e C b. / - - + 3 x 1 e C 3 c. / - + 3 x 3e C d. / - - + 3 x 3e C e. / - + 3 x 1 e C 3 5. arcsin = - 1 2 0 2 x dx 1 x a. π 2 36 b. 36 c. 1 36 d. 36 e. 2 72
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6. Find the derivative of ) ( tan 3 ) ( 1 x e x f - = a. x e x x f 6 1 2 ) ( - = b. x x e e x f 2 1 ) ( + = c. x e x x f 2 1 3 ) ( - = d. x x e e x f 2 1 3 ) ( + = e. none of these 7. Find the derivative of ) 2 / ( sin 3 ) ( 1 x x f - = a. 2 4 2 ) ( x x f - = b. 2 4 3 ) ( x x f - = c. 2 4 6 ) ( x x f - = d. 2 1 3
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Unformatted text preview: ) ( x x f-= e. none of these 8. Evaluate the definite integral: -+ 4 / 3 4 / cos 2 sin 5 sin 2 cos 5 dx x x x x a. -6 7 ln b. -3 7 ln c. 6 7 ln d. 3 7 ln e. none of these 9. Evaluate the definite integral: + + 1 2 1 4 dx x x a. ( 29 2 ln 2 2 1- b. ( 29 2 ln 2 2 1 + c. 2 ln 2-d. 4 ln 2 + e. none of these 10. Evaluate the indefinite integral: + dx e e x x 2 1 a. C e x +-2 1 b. C e x + arcsin c. C e x + arctan d. C e e x x + +-1 1 ln e. none of these...
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hw3 - ) ( x x f-= e. none of these 8. Evaluate the definite...

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