The area of the region (in square units) bounded by the curve x2 = 4y, line x = 2 and x-axis is
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
The area bounded by the curve y = f (x), x-axis, and the ordinates x = 1 and x = b is (b −1) sin (3b + 4). Then, f (x) is __________ .
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
The area bounded by the curve y2 = 8x and x2 = 8y is ___________ .
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
The area bounded by the parabola y2 = 8x, the x-axis and the latusrectum is ___________ .
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
Area bounded by the curve y = x3, the x-axis and the ordinates x = −2 and x = 1 is ______.
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
The area bounded by the curve y = x |x| and the ordinates x = −1 and x = 1 is given by
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
The area bounded by the y-axis, y = cos x and y = sin x when 0 ≤ x ≤ \[\frac{\pi}{2}\] is _________ .
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
The area of the circle x2 + y2 = 16 enterior to the parabola y2 = 6x is
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
Smaller area enclosed by the circle x2 + y2 = 4 and the line x + y = 2 is
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
Area lying in first quadrant and bounded by the circle x2 + y2 = 4 and the lines x = 0 and x = 2, is
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3, is
[8] Applications of the Integrals
Chapter: [8] Applications of the Integrals
Concept: undefined >> undefined
\[\frac{d^3 x}{d t^3} + \frac{d^2 x}{d t^2} + \left( \frac{dx}{dt} \right)^2 = e^t\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{d^2 y}{d x^2} + 4y = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\left( \frac{dy}{dx} \right)^2 + \frac{1}{dy/dx} = 2\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\sqrt{1 + \left( \frac{dy}{dx} \right)^2} = \left( c\frac{d^2 y}{d x^2} \right)^{1/3}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{d^2 y}{d x^2} + \left( \frac{dy}{dx} \right)^2 + xy = 0\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\sqrt[3]{\frac{d^2 y}{d x^2}} = \sqrt{\frac{dy}{dx}}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[\frac{d^4 y}{d x^4} = \left\{ c + \left( \frac{dy}{dx} \right)^2 \right\}^{3/2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[x + \left( \frac{dy}{dx} \right) = \sqrt{1 + \left( \frac{dy}{dx} \right)^2}\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
\[y\frac{d^2 x}{d y^2} = y^2 + 1\]
[9] Differential Equations
Chapter: [9] Differential Equations
Concept: undefined >> undefined
