Home
Class 12
MATHS
The area bounded by the curve y=f(x), X-...

The area bounded by the curve `y=f(x)`, X-axis and ordinates x=1 and x=b is `(b-1) sin (3b+4)`, find `f(x)`.

A

3(x-1)cos(3x+4)+sin(3x+4)

B

(b-1)sin(3x+4)+3cos(3x+4)

C

(b-1)cos(3x+4)+3sin(3x+4)

D

(x-1)sin(3x+4)+3cos(3x+4)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|49 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos

Similar Questions

Explore conceptually related problems

Area bounded by the curve y=x^(3) , X-axis and ordiantes x=1 and x=4 is

If 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-

Find the area bounded by the curve y=3x+2, x-axis and ordinate x=-1 and x=1

Find the area bounded by the curve y=x|x| , x-axis and ordinates x=-1 and x=1 .

The area bounded by the curve y=(4)/(x^(2)) , x -axis and the ordinates x=1,x=3 is

The area bounded by the curve y = log x, X- axis and the ordinates x = 1, x = 2 is

The area bounded by the curve y = sin2x, axis and y=1, is

Let the area bounded by the curve y=f(x) , x-axis and the ordinates x=1 and x=a be (a-1)sin(3a+4) .Statement-1: f(x)=sin(3x+4)+3(x-1)cos(3x+4) .Statement-2: If y=int_(g(x))^(h(x)) f(t)dt , then dy/dx=f(h(x)) h\'(x)-f(g(x)) g\'(x) . (A) Both 1 and 2 are true and 2 is the correct explanation of 1 (B) Both 1 and 2 are true and 2 is not correct explanation of 1 (C) 1 is true but 2 is false (D) 1 is false but 2 is true

The area bounded by the curve y=(x-1)(x-2)(x-3) , x-axis and ordinates x=0,x=3 is :

The area bounded by the curve y=f(x), the x -axis and x=1 and x=c is (c-1)sin(3c+4) Then f(x) is

TARGET PUBLICATION-APPICATIONS OF DEFINITE INTEGRAL-CRITICAL THINKING
  1. The area of the region bounded by x=y^(2)-y and Y-axis is

    Text Solution

    |

  2. The area bounded by the parabola y = 4x - x^(2) and X-axis is

    Text Solution

    |

  3. The area bounded by the curve y=f(x), X-axis and ordinates x=1 and x=b...

    Text Solution

    |

  4. Area enclosed between the curve y^2(2a-x)=x^3 and line x=2a above X-ax...

    Text Solution

    |

  5. Area bounded by the parabola y^(2)=2x and the ordinates x=1, x=4 is

    Text Solution

    |

  6. The area bounded by the curve y^(2)=8x and the line x=2 is

    Text Solution

    |

  7. Examples: Find the area bounded by the parabola y^2 = 4ax and its latu...

    Text Solution

    |

  8. The area bounded by the curve x = 4 - y^(2) and the Y-axis is

    Text Solution

    |

  9. The area enclosed by the parabola y=x^(2)-1 " and " y=1-x^(2) is

    Text Solution

    |

  10. The area of the region bounded by the X-axis and the curves defined by...

    Text Solution

    |

  11. The area of the region bounded by the curve y=cosx, X-axis and the lin...

    Text Solution

    |

  12. Find the area of the region bounded by the curve y = sin x ...

    Text Solution

    |

  13. The area of smaller part between the circle x^(2)+y^(2)=4 and the line...

    Text Solution

    |

  14. The area of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

    Text Solution

    |

  15. A tangent to the ellipse 16x^2 + 9y^2 = 144 making equal intercepts o...

    Text Solution

    |

  16. Find the area bounded by the curve y=x|x|, x-axis and ordinates x=-1 a...

    Text Solution

    |

  17. Find the area bounded by the curve y = 3x + 2, x-axis and ordinate x=-...

    Text Solution

    |

  18. Area lying in the first quadrant and bounded by the circle x^(2)+y^(2)...

    Text Solution

    |

  19. Area bounded by the lines y=2+x, y=2-x and x=2 is (A) 3 (B) 4 (C) 8 (D...

    Text Solution

    |

  20. The area of the region bounded by y=7x+1, y=5x+1 and x=3 is

    Text Solution

    |