Home
Class 12
MATHS
Using integration, find the area bounded...

Using integration, find the area bounded by the curve `x^2=4y` and the line `x=4y-2.`

A

`(3)/(8)` sq units

B

`(5)/(8)` sq units

C

`(7)/(8)` sq units

D

`(9)/(8)` sq units

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise Level - 1|190 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

The area bounded by the curve x^(2)=4y and the line x=4y-2 is

Find the area bounded by the curve x^2=4y and the straight line x=4y-2.

Find the area bounded by the curve x^2=4y and the straight line x=4y-2.

The area bounded by the curve x^(2)=4ay and the line y=2a is

Draw the rough sketch of y= log x. Using integration find the area bounded by the curve, x-axis and x=2

Find the area bounded by the curve y=2x-x^(2) , and the line y=x

Find the area bounded by the curve y^2=4ax and the lines y=2a and y-axis.

Using integration, find the area bounded by the curves y = |x-1| and y = 3-|x| .

Using integration, find the area bounded by the curves y = |x-1| and y = 3-|x| .

Find the area bounded by the curves y=4-x^2 and the lines y=0andy=3

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
  1. Using integration, find the area bounded by the curve x^2=4y and the l...

    Text Solution

    |

  2. The integral int(pi//4)^(pi//2)(2 "cosec "x )^(17) dx is equal to

    Text Solution

    |

  3. If for a real number y ,[y] is the greatest integral function less, th...

    Text Solution

    |

  4. Let f(x) =x -[x] , for every real number x (where, [x] is integral par...

    Text Solution

    |

  5. If g(x)=int(0)^(x)cos^(4)t dt, then g(x+pi) equals to (a)(g(x))/(g(pi)...

    Text Solution

    |

  6. Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)]dx , I2=i...

    Text Solution

    |

  7. The value of int(0)^(2pi)[2 sin x]dx, where [.] represent the greatest...

    Text Solution

    |

  8. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

    Text Solution

    |

  9. Let f: Rveca n dg: RvecR be continuous function. Then the value of the...

    Text Solution

    |

  10. For any integer n,the integral overset(pi)underset(0)int e^(sin^(2)x)c...

    Text Solution

    |

  11. Suppose we define integral using the following formula int(a)^(b)f(x)d...

    Text Solution

    |

  12. Let the definite integral be defined by the formula int(a)^(b)f(x)dx=(...

    Text Solution

    |

  13. Suppose we define integral using the following formula int(a)^(b)f(x)d...

    Text Solution

    |

  14. The value of int(0)^(1)(x^(4)(1-x)^(4))/(1+x^(4))dx is (are)

    Text Solution

    |

  15. If int(n)=int(-pi)^(pi)(sin nx)/((1+pi^(x))sinx) dx, n=0,1,2,………. then

    Text Solution

    |

  16. Let f:[1,oo] be a differentiable function such that f(1)=2. If int1...

    Text Solution

    |

  17. Let d/(dx)F(x)=(e^(sinx))/x . x lt0. If int(1)^(4)(2e^(sinx^(2)))/xdx=...

    Text Solution

    |

  18. int(1)^(e^(37))(pisin(pilogx))/(x)dx equals to.

    Text Solution

    |

  19. Prove that: int0^(2pi)(xsin^(2n)x)/(sin^(2n)+cos^(2n)x)dx

    Text Solution

    |

  20. The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dxi s

    Text Solution

    |

  21. The value of overset(3pi//4)underset(pi//4)int (x)/(1+sin x) dx is equ...

    Text Solution

    |