HSC Arts (English Medium) १२ वीं कक्षा - Maharashtra State Board Important Questions

Evaluate: `int_0^(π/4) sec^4 x  dx`

If `int_2^e [1/logx - 1/(logx)^2].dx = a + b/log2`, then ______.

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 parabola y² = 16x and its latus rectum.

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

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

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

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

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 curves x² = 8y, y = 2, y = 4 and the Y-axis, lying in the first quadrant

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

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

Find the area of the region bounded by the curve y² = 4x, the X-axis and the lines x = 1, x = 4 for y ≥ 0.

Find the area of the region bounded by the curve y = x² and the line y = 4.

Find the area of the region bounded by the curve y = x², and the lines x = 1, x = 2, and y = 0.

Solve the differential equation (x² + y²)dx- 2xydy = 0

Write the degree of the differential equation `x^3((d^2y)/(dx^2))^2+x(dy/dx)^4=0`

Determine the order and degree of the following differential equation:

`(dy)/(dx) = (2sin x + 3)/(dy/dx)`