Area Bounded by a Curve and the x-Axis

JEE Main Mathematics · Area Under the Curve · 8 questions, latest first

• Let the area of the region bounded by the curve y= max { sin x, cos x}, lines x=0, x=(3 π)/2, and the x -axis be A. Then, A+A^2…202623 January, Shift 1 · Q25
• The area of the region bounded by the curve y= max {|x|, x|x-2|}, the x -axis and the lines x=-2 and x=4 is equal to ____20253 April, Shift 1 · Q25
• If the area of the region {(x, y):-1 ≤ x ≤ 1,0 ≤ y ≤ a+e^|x|-e^-x, a>0} is (e^2+8 e+1)/e, then the value of a is:202523 January, Shift 2 · Q16
• Let f: R → R be a twice differentiable function such that f(x+y)=f(x) f(y) for all x, y ∈ R. If f^′(0)=4 a and f satisfies f^′…202522 January, Shift 1 · Q16
• Let the area of the region enclosed by the curve y= min { sin x, cos x} and the x axis between x=-π to x=π be A. Then A^2 is…20248 April, Shift 1 · Q27
• The area of the region enclosed by the curve f(x)= max { sin x, cos x},-π ≤ x ≤ π and the x -axis is202313 April, Shift 1 · Q12
• Let A be the area bounded by the curve y=x|x-3|, the x -axis and the ordinates x=-1 and x=2. Then 12 A is equal to ____20231 February, Shift 1 · Q87
• Let q be the maximum integral value of p in [0,10] for which the roots of the equation x^2-p x+5/4 p=0 are rational. Then the…202330 January, Shift 2 · Q62