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Evaluate: `int_0^(π/4) sec^4 x dx`
Concept: Methods of Evaluation and Properties of Definite Integral
If `int_2^e [1/logx - 1/(logx)^2].dx = a + b/log2`, then ______.
Concept: Methods of Evaluation and Properties of Definite Integral
Find the area of the region bounded by the following curves, X-axis and the given lines: x = 2y, y = 0, y = 4
Concept: Area Bounded by the Curve, Axis and Line
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
Concept: Area Bounded by the Curve, Axis and Line
Find the area of the region bounded by the parabola y2 = 16x and its latus rectum.
Concept: Area Bounded by the Curve, Axis and Line
Solve the following :
Find the area of the region lying between the parabolas y2 = 4x and x2 = 4y.
Concept: Area Between Two Curves
Solve the following:
Find the area of the region bounded by the curve y = 4x2, Y-axis and the lines y = 1, y = 4.
Concept: Area Bounded by the Curve, Axis and Line
The area bounded by the parabola y2 = x along the X-axis and the lines x = 0, x = 2 is ______ sq.units
Concept: Area Bounded by the Curve, Axis and Line
The area of triangle ΔABC whose vertices are A(1, 1), B(2, 1) and C(3, 3) is ______ sq.units
Concept: Area Between Two Curves
Find the area bounded by the curve y2 = 36x, the line x = 2 in first quadrant
Concept: Area Bounded by the Curve, Axis and Line
Find the area enclosed between the X-axis and the curve y = sin x for values of x between 0 to 2π
Concept: Area Between Two Curves
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
Concept: Area Bounded by the Curve, Axis and Line
Find the area of the ellipse `x^2/36 + y^2/64` = 1, using integration
Concept: Area Between Two Curves
The area bounded by the curve y = x3, the X-axis and the Lines x = –2 and x = 1 is ______.
Concept: Area Bounded by the Curve, Axis and Line
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.
Concept: Area Bounded by the Curve, Axis and Line
Find the area of the region bounded by the curve y = x2 and the line y = 4.
Concept: Area Bounded by the Curve, Axis and Line
Find the area of the region bounded by the curve y = x2, and the lines x = 1, x = 2, and y = 0.
Concept: Area Bounded by the Curve, Axis and Line
Solve the differential equation (x2 + y2)dx- 2xydy = 0
Concept: Methods of Solving First Order, First Degree Differential Equations >> Homogeneous Differential Equations
Write the degree of the differential equation `x^3((d^2y)/(dx^2))^2+x(dy/dx)^4=0`
Concept: Order and Degree of a Differential Equation
Determine the order and degree of the following differential equation:
`(dy)/(dx) = (2sin x + 3)/(dy/dx)`
Concept: Order and Degree of a Differential Equation
