Balbharati solutions for Mathematics and Statistics 2 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board chapter 5 - Application of Definite Integration [Latest edition]

Find the area of the region bounded by the following curves, X-axis and the given lines: y = 2x, x = 0, x = 5

Find the area of the region bounded by the following curves, X-axis and the given lines: x = 2y, y = 0, y = 4

Find the area of the region bounded by the following curves, X-axis and the given lines : x = 0, x = 5, y = 0, y = 4

Find the area of the region bounded by the following curves, X-axis and the given lines : y = sin x, x = 0, x = `pi/(2)`

Find the area of the region bounded by the following curves, X-axis and the given lines: xy = 2, x = 1, x = 4

Find the area of the region bounded by the following curves, X-axis and the given lines : y² = x, x = 0, x = 4

Find the area of the region bounded by the following curves, X-axis and the given lines: y² = 16x, x = 0, x = 4

Find the area of the region bounded by the parabola y² = 16x and its latus rectum.

Find the area of the region bounded by the parabola: y = 4 – x² and the X-axis.

Find the area of the region included between y² = 2x and y = 2x.

Find the area of the region included between: y² = 4x, and y = x

Find the area of the region included between: y = x² and the line y = 4x

Find the area of the region included between: y² = 4ax and the line y = x

Find the area of the region included between y = x² + 3 and the line y = x + 3.

Choose the correct option from the given alternatives :

The area bounded by the regional 1 ≤ x ≤ 5 and 2 ≤ y ≤ 5 is given by ______.

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The area of the region enclosed by the curve y = `(1)/x`, and the lines x = e, x = e² is given by

Choose the correct option from the given alternatives :

The area bounded by the curve y = x³, the X-axis and the lines x = – 2 and x = 1 is

The area enclosed between the parabola y² = 4x and line y = 2x is ______.

Choose the correct option from the given alternatives :

The area of the region bounded between the line x = 4 and the parabola y² = 16x is ______.

The area of the region bounded by y = cos x, Y-axis and the lines x = 0, x = 2π is ______.

Choose the correct option from the given alternatives :

The area bounded by the parabola y² = 8x, the X-axis and the latus rectum is

Choose the correct option from the given alternatives :

The area under the curve y = `2sqrt(x)`, enclosed between the lines x = 0 and x = 1 is

Choose the correct option from the given alternatives :

The area of the circle x² + y² = 25 in first quadrant is 

Choose the correct option from the given alternatives :

The area of the region bounded by the ellipse `x^2/a^2 + y^2/b^2` = 1 is

Choose the correct option from the given alternatives : 

The area bounded by the parabola y² = x and the line 2y = x is

Choose the correct option from the given alternatives : 

The area enclosed between the curve y = cos 3x, 0 ≤ x ≤ `pi/(6)` and the X-axis is

Choose the correct option from the given alternatives :

The area bounded by y = `sqrt(x)` and the x = 2y + 3, X-axis in first quadrant is

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The area bounded by the ellipse `x^2/a^2  y^2/b^2` = 1 and the line `x/a + y/b` = 1 is

Choose the correct option from the given alternatives :

The area bounded by the parabola y = x² and the line y = x is

Choose the correct option from the given alternatives :

The area enclosed between the two parabolas y² = 4x and y = x is

The area bounded by the curve y = tan x, X-axis and the line x = `pi/(4)` is ______.

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The area of the region bounded by x² = 16y, y = 1, y = 4 and x = 0 in the first quadrant, is

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The area of the region included between the parabolas y² = 4ax and x² = 4ay, (a > 0) is given by

Choose the correct option from the given alternatives :

The area of the region included between the line x + y = 1 and the circle x² + y² = 1 is

Solve the following :

Find the area of the region bounded by the following curve, the X-axis and the given lines : 0 ≤ x ≤ 5, 0 ≤ y ≤ 2

Solve the following :

Find the area of the region bounded by the following curve, the X-axis and the given lines : y = sin x, x = 0, x = π

Solve the following :

Find the area of the region bounded by the following curve, the X-axis and the given lines : y = sin x, x = 0, x = `pi/(3)`

Solve the following :

Find the area of the circle x² + y² = 9, using integration.

Solve the following :

Find the area of the ellipse `x^2/(25) + y^2/(16)` = 1 using integration

Solve the following :

Find the area of the region lying between the parabolas :

y² = 4x and x² = 4y

Solve the following :

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

Solve the following :

Find the area of the region lying between the parabolas : y² = x and x² = y.

Solve the following :

Find the area of the region in first quadrant bounded by the circle x² + y² = 4 and the X-axis and the line x = `ysqrt(3)`.

Solve the following :

Find the area of the region bounded by the parabola y² = x and the line y = x 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.

Solve the following :

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

Solve the following :

Find the area of the region bounded by the straight line 2y = 5x + 7, X-axis and x = 2, x = 5.

Solve the following :

Find the area of the region bounded by the curve y = 4x², Y-axis and the lines y = 1, y = 4.