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Integral Calculus

Integral Calculus. Integral Calculus. PREPARED BY: R.RAJENDRAN. M.A., M . Sc., M. Ed., K.C.SANKARALINGA NADAR HR. SEC. SCHOOL, CHENNAI-21. One Mark Questions. Choose the Correct Answer. The value of is (a) (b) (c) 0 (d) 

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Integral Calculus

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  1. Integral Calculus Integral Calculus PREPARED BY: R.RAJENDRAN. M.A., M. Sc., M. Ed., K.C.SANKARALINGA NADAR HR. SEC. SCHOOL, CHENNAI-21 One Mark Questions

  2. Choose the Correct Answer • The value of is (a) (b)(c) 0 (d)  • The value of is(a) (b) 0 (c) (d) 

  3. Choose the Correct Answer • The value of is (a) (b)(c) (d) • The value of is(a) 0 (b) 2 (c) log2 (d) log4

  4. Choose the Correct Answer • The value of is (a) (b)(c) 0 (d) • The value of is(a) (b) 0 (c) (d)

  5. Choose the Correct Answer • The value of is (a)  (b)(c) (d) 0 • The area bounded by the line y = x, the x-axis, the ordinates x = 1, x = 2 is(a) (b) (c) (d)

  6. Choose the Correct Answer • The area of the region bounded by the graph of y = sin x and y = cos x between x = 0 and x = /4 is (a) 2 + 1 (b) 2 – 1 (c) 2 2 – 2 (d) 2 2 + 2 • The area bounded by the parabola y2 = x and its latus rectum is(a) (b) (c) (d)

  7. Choose the Correct Answer • The area between the ellipse and its auxiliary circle is (a) b(a – b) (b) 2a(a – b) (c) a(a – b) (d) 2b(a – b) • The volume of the solid obtained by revolving about the minor axis is(a) 48 (b) 64(c) 32 (d) 128

  8. Choose the Correct Answer • The volume, when the curve y = from x = 0 to x = 4 is rotated about x-axis is(a) 100 (b) (c) (d) • The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x – axis is (a) (b) (c) (d)

  9. Choose the Correct Answer • The volume of solid obtained by revolving the area of the ellipse about major and minor axes are in the ratio(a) b2 : a2 (b) a2 : b2(c) a : b (d) b : a • The volume generated by rotating the triangle with vertices at (0, 0), (3, 0), (3, 3) about x – axis is (a) 18 (b) 2(c) 36 (d) 9

  10. Choose the Correct Answer • The length of arc of the curve x2/3 + y2/3 = 4 is(a) 48 (b) 24 (c) 12 (d) 96 • The surface area of the solid of revolution of the region bounded by y = 2x, x = 0, x = 2 about x-axis is (a) 85 (b) 25(c) 5 (d) 45

  11. Choose the Correct Answer • The area bounded by the parabola y2 = 4x and its latus rectum is(a) 2/3 (b) 8/3 (c) 16/3 (d) 4/3 • The curved surface area of a sphere of radius 5, intercepted between two parallel planes of distance 2 and 4 from the center is (a) 20 (b) 40(c) 10 (d) 30

  12. Choose the Correct Answer • If then(a) f(2a – x) = f(x) (b) f(a – x) = f(x) (c) f(x) = – f(x) (d) f(–x) = f(x) • If f(x) is an odd function then is(a) (b) (c) 0 (d)

  13. Choose the Correct Answer • If n is odd then is (a) (b) (c) (d)

  14. Choose the Correct Answer • If n is even then is (a) (b) (c) (d)

  15. Choose the Correct Answer • If n is odd then is (a) (b) (c) (d)

  16. Choose the Correct Answer • If n is even then is (a) (b) (c) (d)

  17. Choose the Correct Answer • The area bounded by the curve x = g(y) to the right of y-axis and the two lines y = c and y = d is given by (a) (b) (c) (d) • The area bounded by the curve x = f(y), y-axis and the lines y = c and y = d is rotated about y – axis. Then the volume of the solid is (a) (b) (c) (d)

  18. Choose the Correct Answer • The area bounded by the curve x = g(y) to the left of y-axis and the two lines y = c and y = d is given by (a) (b) (c) (d) • The area bounded by the curve y = f(x), x-axis and the lines x = a and x = b is rotated about x – axis. Then the volume of the solid is (a) (b) (c) (d)

  19. Choose the Correct Answer • The arc length of the curve y = f(x) from x = a and x = b is (a) (b) (c) (d)

  20. Choose the Correct Answer • The surface area obtained by revolving the area bounded by the curve y = f(x) from x = a and x = b and x-axis, about x-axis is (a) (b) (c) (d)

  21. Choose the Correct Answer • The area of the region bounded by the line y + 3 = x, x = 1 and x = 5 is(a) 3sq.units (b) 4sq.units (c) 0sq.units (d) 5sq.units • The length of the arc of the curve x = a(t – sint), y = a(1 – cost) between t = 0 and t =  is(a) 8a (b) 6a (c) 4a (d) 3a

  22. Choose the Correct Answer • The area of the curve y2 = (x – 5)2 (x – 6) between x = 5 and x = 6 is(a) 0sq.units (b) 1sq.units (c) 4sq.units (d) 6sq.units • The volume of the solid that results when the region enclosed by is revolved about the major axis (a > b > 0) is(a) (b) (c) (d)

  23. Choose the Correct Answer • The volume of the solid that results when the region enclosed by is revolved about the minor axis (a > b > 0) is(a) (b)(c) (d)

  24. Choose the Correct Answer • The surface area of the solid generated by revolving the arc of the parabola y2 = 4ax bounded by its LR about x-axis is(a) (b) (c) (d)

  25. Choose the Correct Answer • The total length of the curve x2/3 + y2/3 = a2/3 is (a) 3a (b) 4a (c) 6a (d) 8a • The area of the region bounded by the ellipse is (a) 2a2sq.units (b) 2b2sq.units (c) 2ab sq.units (d) ab sq.units

  26. THE END

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