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Class XII Maths Applications of Integrals 2

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Question 1

The area bounded by the curves x = a (θ – sinθ), y = a(1 – cos θ), 0 ≤ θ ≤ 2π, is-

Question 2

The area enclosed by the curve y2 + x4 = x2, is-

Question 3

Area of the curve y2 = (7 – x) (5 + x) above x-axis and between the ordinates x = –5 and
x = 1, is-

Question 4

The area bounded in the first quadrant between the ellipse += 1 and the line 3x + 4y = 12, is-

Question 5

The area (in square units) bounded by the curves , x-axis, and lying in the first quadrant is

Question 6

The area enclosed between the curve y = loge (x + e) and the coordinate axes is-

Question 7

The area of the region bounded by x = , x = 2, y = ln x and y = 2x is

Question 8

The area of the figure in the first quadrant bounded by y = x, x = 0 and x = sin1(a4 + 1) + cos1(a4 + 1) – tan–1(a4 + 1), a R, is
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Apr 28JEE & BITSAT