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Class XII Maths Applications of Integrals 1
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Question 1
The area of the figure in the first quadrant bounded by y = x, x = 0 and x = sin−1(a4 + 1) + cos−1(a4 + 1) – tan–1(a4 + 1), a ∈ R, is
Question 2
The area of the figure in the first quadrant bounded by y = x, x = 0 and x = sin−1(a4 + 1) + cos−1(a4 + 1) – tan–1(a4 + 1), a ∈ R, is
Question 3
The area of the region bounded by x = 
, x = 2, y = ln x and y = 2x is
, x = 2, y = ln x and y = 2x isQuestion 4
Let f be a continuous function such that f(x) > 0, x ∈ R and the area bounded by y = f(x), x-axis, y-axis and the line x = a, a > 0 be 
. Then f(x) is
. Then f(x) isQuestion 5
A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length x. The maximum area enclosed by the park is
Question 6
The area bounded between the parabolas x2 = y/4 and x2 = 9y, and the straight line y = 2 is
Question 7
The area (in sq. units) of the smaller region {(x,y);y2≥2x and x2+y2≤4x, x≥0, y≥0} is:
Question 8
The area enclosed between the curves y2 = x and y = |x| is
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