# TRIGONOMETRIC INTEGRALS

Yemei Tian Assignment 6.3 TRIGONOMETRIC INTEGRALS due 05/03/2021 at 11:59pm PDT 5. (1 point) Evaluate the integral 1. (1 point) Evaluate the integral Z Z MATH 009B 001 21S 9 sin3 (x) cos2 (x) dx −6 tan3 (2x) sec5 (2x) dx Note: Use an upper-case ”C” for the constant of integration. Note: Use an upper-case ”C” for the constant of integration. Answer(s) submitted: Answer(s) submitted: • • (incorrect) (incorrect) 6. (1 point) Evaluate the integral 2. (1 point) Evaluate the integral Z Z −5 tan5 (x) dx Note: Use an upper-case ”C” for the constant of integration. −8 sin6 (x) cos3 (x) dx Answer(s) submitted: Note: Use an upper-case ”C” for the constant of integration. • (incorrect) Answer(s) submitted: 7. (1 point) Evaluate the integral • (incorrect) Z 3π/4 3. (1 point) Evaluate the integral Z 7 sin5 (x) cos3 (x) dx π/2 Answer(s) submitted: • 3 sec2 (x) tan(x) dx (incorrect) Note: Use an upper-case ”C” for the constant of integration. 8. (1 point) Evaluate the integral Answer(s) submitted: Z π/2 • 7 cos2 (x) dx 0 (incorrect) Answer(s) submitted: • 4. (1 point) Evaluate the integral (incorrect) Z 9. (1 point) Evaluate the integral 5 tan4 (x) dx Z π/2 Note: Use an upper-case ”C” for the constant of integration. 0 Answer(s) submitted: Answer(s) submitted: • • (incorrect) (incorrect) 1 −5 sin2 (3x) dx 10. (1 point) Evaluate the integral Z π/4 12. (1 point) Evaluate the integral Z π/4 −9 sin4 (x) cos2 (x) dx 0 10 sec4 (x) tan4 (x) dx 0 Answer(s) submitted: • Answer(s) submitted: • (incorrect) (incorrect) 11. (1 point) Evaluate the integral 13. (1 point) Evaluate the integral Z π/2 9 sin2 (x) cos2 (x) dx Z π/3 0 0 Answer(s) submitted: • Answer(s) submitted: • (incorrect) (incorrect) Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 2 10 tan5 (x) sec4 (x) dx A Moving to the next question prevents changes to this answer. Question 1 Perform the indicated operations. Simplify the result, if possible. x + 8 4x + 1 246 + 2x – 35 BE .. т т т Arial 3 (12pt) T5 Path:p A Moving to the next question prevents changes to this answer. Question 2 Use factoring to solve the polynomial equation. + + 6x²-x-6=0 O {1, -6, 6] O {-6, 6} O {-1,1,-6) O (36} Moving to the next question prevents changes to this answer. O Type here to search of the Tre Serv Divide as indicated. x2 + 5x + 6 2 + 10x + 21 x2 + 2x x2 + 4x – 21 A Moving to the next question prevents changes A Moving to the next question prevents changes to this answer. Question 4 Use radical notation to rewrite the expression. Simplify, if possible. (-64 4/3 O 4096 256 not a real number -256 Moving to the next question prevents changes to this answer. Type here to search O Service Remaining Time: 38 minutes, 01 second. Question Completion Status: A Moving to the next question prevents changes to this answer. Question 5 Multiply and simplify. Assume that all variables in a radicand represent positive real numbers. 130cy 15xy A Moving to the next question prevents changes to this answer. Type here to search O E 99+ enue Service Dateking Question 6 Solve the rational equation. 1 3 X+6 X + 2 + 10 + 24 © {0} O {-6) O (4) Oo Moving to the next question preve

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