List of top Mathematics Questions on applications of integrals asked in BITSAT

The area under the curve y=|cos x-sin x|, 0≤ x≤ (π)/(2), above the x-axis is
The area of the region
\[ R = \{(x, y) \mid |x| \le |y| \text{ and } x^2 + y^2 \le 1\} \]

is:
The area under the curve \(y = |\cos x - \sin x|\), for \(0 \le x \le \frac{\pi}{2}\), and above the x-axis is
The area of the region \(R=\{(x,y):|x|\le |y| \text{ and x^2+y^2\le1\}\) is
The area bounded by the x-axis, the curve \(y=f(x)\) and the lines \(x=1,\;x=b\) is equal to \(\sqrt{b^2+1}-\sqrt{2}\) for all \(b > 1\). Then \(f(x)\) is
The area intercepted by the curves \( y = \cos x \), \( x \in [0, \pi] \) and \( y = \cos 2x \), \( x \in [0, \pi] \), is
The area bounded by the curve \( y = \sin x \), x-axis and the ordinates \( x = 0 \) and \( x = \pi/2 \) is:
What is the area bounded by y=tan x, y=0 and x=(π)/(4)?
The area of the region bounded by the curve y=x|x|, x-axis and the ordinates x=1, x=-1 is given by
The minimum value of the function y=x⁴-2x²+1 in the interval [-\frac12,2] is
The value of a in order that f(x)= x- x-ax+b decreases for all real values is