SCERT Maharashtra solutions for Mathematics and Statistics (Arts and Science) [English] 12 Standard HSC chapter 2.5 - Application of Definite Integration [Latest edition]

The area of the region bounded by the curve y = sinx, X-axis and the lines x = 0, x = 4π is ______ sq.units

The area of the region bounded by the ellipse x²/64 + y²/100 = 1, is ______ sq.units

The area bounded by the parabola y² = x along the X-axis and the lines x = 0, x = 2 is ______ sq.units

The area bounded by the curve y² = x², and the line x = 8 is ______

The area of the region included between the parabolas y² = 16x and x² = 16y, is given by ______ sq.units

The area enclosed between the two parabolas y² = 20x and y = 2x is ______ sq.units

The area bounded by the parabola y² = 32x the X-axis and the latus rectum is ______ sq.units

The area bounded by the ellipse `x^2/4 + y^2/25` = 1 and the line `x/2 + y/5` = 1 is ______ sq.units

The area of triangle ΔABC whose vertices are A(1, 1), B(2, 1) and C(3, 3) is ______ sq.units

The area enclosed by the line 2x + 3y = 6 along X-axis and the lines x = 0, x = 3 is ______ sq.units

Find the area bounded by the curve y² = 36x, the line x = 2 in first quadrant 

Find the area bounded by the curve y = sin x, the lines x = 0 and x = `pi/2`

Find the area enclosed between y = cos x and X-axis between the lines x = `pi/2` and x ≤ `(3pi)/2`

Find the area of the region bounded by the parabola y² = 32x and its Latus rectum in first quadrant

Find the area of the region bounded by the curve y = x², the X−axis and the given lines x = 0, x = 3

Find the area of the region bounded by the curve y² = 8x, the X−axis and the given lines x = 1, x = 3, y ≥ 0

Find the area of the region bounded by the curve x² = 12y, the Y−axis and the given lines y = 2, y = 4, x ≥ 0

Find the area of the ellipse `x^2/1 + y^2/4` = 1, in first quadrant

Find the area of sector bounded by the circle x² + y² = 25, in the first quadrant−

Using integration, find the area of the region bounded by the line 2y + x = 8 , X−axis and the lines x = 2 and x = 4

Find the area enclosed between the X-axis and the curve y = sin x for values of x between 0 to 2π

Find the area of the region bounded by the parabola x² = 4y and The X-axis and the line x = 1, x = 4

Find the area of the region bounded by the parabola y² = 16x and the line x = 4

Find the area of the region bounded by the curves x² = 8y, y = 2, y = 4 and the Y-axis, lying in the first quadrant

Find the area of the region bounded by the curve y = sin x, the X−axis and the given lines x = − π, x = π

Find the area of the ellipse `x^2/36 + y^2/64` = 1, using integration

Find the area of the region bounded by the curves y² = 4ax and x² = 4ay

Find the area of the region lying between the parabolas 4y² = 9x and 3x² = 16y

Find the area of the sector bounded by the circle x²+ y² = 16, and the line y = x in the first quadrant

Find the area of the region included between y = x² + 5 and the line y = x + 7

Find the area enclosed between the circle x² + y² = 9, along X-axis and the line x = y, lying in the first quadrant

Solve the following :

Find the area enclosed between the circle x² + y² = 1 and the line x + y = 1, lying in the first quadrant.

Find the area of the region bounded by the curve (y − 1)² = 4(x + 1) and the line y = (x − 1)