Find the area of the region enclosed by y=-5x-x^(2) and y=x on int | Filo

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Class 12 Maths Calculus Area

Find the area of the region enclosed by

y = - 5 x - x^{2} and y = x

on interval

[- 1, 5]

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Similar topics

relations and functions

trigonometric functions

inverse trigonometric functions

application of derivatives

integrals

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relations and functions

trigonometric functions

inverse trigonometric functions

application of derivatives

integrals

Related Questions

Consider curves

S_{1} : ∣ x ∣ + ∣ y ∣ = a, S_{2} : x^{2} + y^{2} = a^{2} and S_{3} : ∣ x ∣ + ∣ y ∣ = a . If α is area bounded by S_{1} and S_{2}, β is area bounded by S_{1} and S_{3} and γ

is the area bounded by

S_{2} and S_{3},

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The area of the region

{(x, y) : x^{2} + y^{2} \leq 5, ∣ ∣ x ∣ - ∣ y ∣ ∣ \geq 1

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f (x) = {cos x (\frac{π}{2} - x)^{2} 0 \leq x < \frac{π}{2} \frac{π}{2} \leq x < π

such that f is periodic with period

π

. Then which of the following is not true?

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Let C be a curve passing through M(2,2) such that the slope of the tangent at any point to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and line x=2 is A, then the value of

\frac{3 A}{2}

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Let f (x) = cos x^{2}, f (x) - x, and α, β (α < β)

be the roots of the quadratic equation

18 x^{2} - 9 π x + π^{2} = 0 .

Then the area (in sq. units) bounded by the curve y=(gof) (x) and the lines

x = α, x = β and y = 0,

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The area bounded by the two branches of curve

(y - x)^{2} = x^{3}

and the straight line x=1 is

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If f : [- 1, 1] \to [- \frac{1}{2}, \frac{1}{2}], f (x) = \frac{x}{1 + x ^{2}},

then find the area bounded by

y = f^{- 1} (x), x

x = \frac{1}{2}, x = - \frac{1}{2} .

play button image

The area bounded by the curve

y = x e^{- x}, y = 0 and x = c,

where c is the x-coordinate to the curve's inflection point, is

play button image

Related Questions

Consider curves

S_{1} : ∣ x ∣ + ∣ y ∣ = a, S_{2} : x^{2} + y^{2} = a^{2} and S_{3} : ∣ x ∣ + ∣ y ∣ = a . If α is area bounded by S_{1} and S_{2}, β is area bounded by S_{1} and S_{3} and γ

is the area bounded by

S_{2} and S_{3},

play button image

The area of the region

{(x, y) : x^{2} + y^{2} \leq 5, ∣ ∣ x ∣ - ∣ y ∣ ∣ \geq 1

play button image

f (x) = {cos x (\frac{π}{2} - x)^{2} 0 \leq x < \frac{π}{2} \frac{π}{2} \leq x < π

such that f is periodic with period

π

. Then which of the following is not true?

play button image

Let C be a curve passing through M(2,2) such that the slope of the tangent at any point to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and line x=2 is A, then the value of

\frac{3 A}{2}

play button image

Let f (x) = cos x^{2}, f (x) - x, and α, β (α < β)

be the roots of the quadratic equation

18 x^{2} - 9 π x + π^{2} = 0 .

Then the area (in sq. units) bounded by the curve y=(gof) (x) and the lines

x = α, x = β and y = 0,

play button image

The area bounded by the two branches of curve

(y - x)^{2} = x^{3}

and the straight line x=1 is

play button image

If f : [- 1, 1] \to [- \frac{1}{2}, \frac{1}{2}], f (x) = \frac{x}{1 + x ^{2}},

then find the area bounded by

y = f^{- 1} (x), x

x = \frac{1}{2}, x = - \frac{1}{2} .

play button image

The area bounded by the curve

y = x e^{- x}, y = 0 and x = c,

where c is the x-coordinate to the curve's inflection point, is

play button image

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Blog
Micro Class
PDFs
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Download App

About Us
Contact Us
Privacy Policy and Terms & Conditions

Copyright FILO EDTECH PVT. LTD. 2021