plugin-thq2 - Integral Calculus Winter 2010-2011 Take-Home...

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Unformatted text preview: Integral Calculus Winter 2010-2011 Take-Home Quiz 2 1. Evaluate the definite integral of the algebraic function 3 1 x - 3x2 dx x 2. Evaluate the definite integral of the trigonometric function. /2 (3 - sin x) dx 0 Find the area of the region bounded by the graphs of the equations 3. y = 2x2 + 2, 4. y = -x2 + 9, x = 1, y=0 x = 3, y=0 5. Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the indicated interval 9 f (x) = 3 , [1, 3] x 6. Find the average value of the function over the interval and all values of x in the interval for which the function equals its average value. f (x) = 7 Find F as a function of x 1 (x2 - 2) x2 x [1, 4] (t + 5) dt 8. Find F (x) x3 F (x) = -2 sin t3 dt Find the indefinite integral 9. x x2 + 3 dx 10. 11. sin x dx cos2 x x x + 3 dx Evaluate the definite integral 4 12. 2 x x2 - 3 dx /3 13. 0 sin x cos x dx 14. Find the indefinite integral 3 dx x-2 Find the indefinite integral 15. 16. tan 3x dx sin x dx 1 + cos x 17. Evaluate the definite integral 2 3 dx 0 5x + 1 Find the indefinite integral 18. 19. x2 ex 3 /3 dx ex dx 2 + ex Find the indefinite integral 20. 21. 2x dx 2 + 2x 2sin x cos x dx Find the indefinite integral 22. 23. 2 dx 1 - 9x2 9 dx 1 + 4x2 ...
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plugin-thq2 - Integral Calculus Winter 2010-2011 Take-Home...

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