Math Chapter Wise question with answer

Q01 The ratio of the area bounded by the curve a4 y2 = x5 (2a – x) and that of the circle of radius a, is: English · UP PCS (Pre) 1996 Q02 The area of the region bounded by the parabola 2 y = 2x - x and the line y = x (in sq. units) is: English · EMRS PGT-2023 Q03 If ∫ dx 1 x = k log 1+ tan 1+ 2 sinx + cosx k 2 then the value of k is: English · EMRS PGT-2023 Q04 If 2 e 2 1- x y = log 1+ x, then dy dx is equal to: English · EMRS PGT-2023 Q05 The area of the region enclosed between the curves 3 y = x and y = x (in square units) is: English · EMRS PGT-2023 Q06 The value of ∫ ∫ ∫[(log|x|)2 /x ]dx is English · Bihar (TRE 2.0)-2023