Related InterviewSolutions

• The area bounded by the curve `y = x^(4)`, X-axis and the lines x = 1, x = 5 isA. `3124/5 sq. units `B. `3126/5 sq. units`C. `624/5 sq.units`D. `626/5 sq. units`
• The area bounded by the curve `y = x^(3)`, X-axis and the lines x = 1, x = 3 isA. 5 sq. unitsB. 10 sq. unitsC. 20 sq. unitsD. 40 sq. units
• Find the area of the region bounde by the curve ` y = sqrt ( 16 - x ^(2)) ` , the X - axis and the lines ` x = 0 , x= 4 `.A. `pi sq.units`B. `4pi sq. units`C. `2pi sq. units`D. `8pi sq. units`
• The area bounded by the curve `xy = c^(2)`, X-axis and the lines x = c, x = 2c isA. log 2 sq. unitsB. c log 2 sq. unitsC. `c^(2)` log 2 sq. unitsD. 2c log 2 sq. units
• The area bounded by the curve `y = 2x - x^(2)` and the line y = - x isA. `3/2 sq. units`B. `9/2 sq. units`C. `4/3 sq. units`D. `19/6 sq. units`
• Find the area of the region bounded by the curve ` y = sin x ` between ` x = 0 and x= 2pi `.
• The area bounded by the curve `y = sin^(2) x, 0 le x le pi/2`, X axis and the line `x = pi/2` isA. `pi/4 sq. units`B. `pi/2 sq. units`C. `(3pi)/2 sq. units`D. `(3pi)/4 sq. units`
• The area bounded by the curve y = log x, X- axis and the ordinates x = 1, x = 2 isA. log 4 sq. unitsB. log 2 sq. unitsC. (log 4 - 1) sq. unitsD. (log 4 + 1 ) sq. units
• Find the area of the region bounded by the curve ` y = sinx `, the lines ` x = - ( pi ) /(2), x = ( pi ) /(2) ` and X- axis.A. 0 sq. unitsB. 1 sq. unitsC. `- 1 sq. units`D. 2 sq. units
• Find the area of the region bounded by the curve ` y = sin x ` between ` x = 0 and x= 2pi `.A. 2 sq. unitsB. 4 sq. unitsC. 8 sq. unitsD. 16 sq. units