Home
Class 12
PHYSICS
Use a definite integral to find the area...

Use a definite integral to find the area of the origin between the given curve and the x-axis on the interval [0,b]
`y = 3x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
Using n subintervals of length `Deltax=(b)/(n)` and right - end point values : Area `=int_(0)^(b)3x^(2)dx=b^(3)`
Promotional Banner

Topper's Solved these Questions

  • VECTOR & CALCULUS

    MOTION|Exercise EXERCISE -2 (LEVEL - II) MULTIPLE CORRECT|13 Videos

  • VECTOR & CALCULUS

    MOTION|Exercise EXERCISE -3 (LEVEL - I) SUBJECTIVE|15 Videos

  • VECTOR & CALCULUS

    MOTION|Exercise EXERCISE -1|76 Videos

  • VECTOR

    MOTION|Exercise Exercise - 3|18 Videos

  • WAVE MOTION

    MOTION|Exercise Exercise - 3 Section - B (Previous Years Problems)|7 Videos

Similar Questions

Explore conceptually related problems

Use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b] y = 2x

Use a definite integral to find the area of the region between the given curve and the x-axis on the interval [0, b] y = x/2+1

Find by integration the area of the region bounded by the curve y=2x-x^2 and the x-axis.

find the total area between the cuve y=1-x^(2) and the x-axis over the interval [0,2] (fig).

Using integration, find the area of the region bounded by the line 2y+x=8 , the x-axis and the lines x=2 and x=4 .

Using integration, find the area of the region bounded by the line y-1 = x, the x-axis, and the ordinates x = -2 and x = 3.

Using integration, find the area of the region bounded by the curve y^(2)=9x and lines x=1 and x=4.

Using integration,find the area of the region bounded by the line y-1=x, the x-axis . and the ordinates x=-2 and x=3.

Using integration, find the area of the region bounded by the line 2y = 5x + 7, the x-axis, and the lines x = 2 and x = 8.

Using integration, find the area enclosed by the curve y = cos, y = sin x and x - axis in the interval [0, pi//2] .

MOTION-VECTOR & CALCULUS-EXERCISE -2 (LEVEL - I) OBJECTIVE PROBLEMS
  1. Momentum of a body moving in a straight line is p = (2t^3 + t^2 + 2t ...

    Text Solution

    |

  2. The charge flowing throug a conductor beginning with time to=0 is give...

    Text Solution

    |

  3. A body whose mass is 3kg performs rectilinear motion according to the ...

    Text Solution

    |

  4. The angle theta through which a pulley turns with time t is specified ...

    Text Solution

    |

  5. If the distance s travelled by a body in time t is given by s = a/t + ...

    Text Solution

    |

  6. If v = 3t^2 - 2t + 1, find the value of t for which (dv)/(dt) = 0

    Text Solution

    |

  7. Find two positive numbers x & y such that x + y = 60 and xy is maximum...

    Text Solution

    |

  8. A sheet of area 40m^2 is used to make an open tank with square base. F...

    Text Solution

    |

  9. Find integrals of given functions int(2x^3 - 5x + 7)dx

    Text Solution

    |

  10. Find integrals of given functions int(1/5 - 2/(x^3) + 2x)dx

    Text Solution

    |

  11. Find integrals of given functions int(sqrt(x) + root(3)(x))dx

    Text Solution

    |

  12. Find integrals of given functions int x^(-3)(x + 1)dx

    Text Solution

    |

  13. Find integrals of given functions int(tsqrt(t) + sqrt(t))/(t^2) dt

    Text Solution

    |

  14. Find integrals of given functions int(4+sqrt(t))/(t^3) dt

    Text Solution

    |

  15. Find integrals of given functions int cos theta(tan theta + "sec" th...

    Text Solution

    |

  16. Find integrals of given functions int(x)^(2pi) theta d theta

    Text Solution

    |

  17. Find integrals of given functions int(0)^(root(3)(7)) theta dtheta

    Text Solution

    |

  18. Find integrals of given functions int(0)^(pi) cos x dx

    Text Solution

    |

  19. Find integrals of given functions int(0)^(1) (dx)/(3x + 2)

    Text Solution

    |

  20. Use a definite integral to find the area of the origin between the giv...

    Text Solution

    |