Home
Class 11
PHYSICS
Integrate the following functions int...

Integrate the following functions
`int_(0)^(pi//2) " cos x dx"`

Text Solution

AI Generated Solution

To solve the integral \( \int_{0}^{\frac{\pi}{2}} \cos x \, dx \), we will follow these steps: ### Step 1: Identify the integral We need to evaluate the integral of the function \( \cos x \) from \( 0 \) to \( \frac{\pi}{2} \). ### Step 2: Find the antiderivative The antiderivative (or indefinite integral) of \( \cos x \) is \( \sin x \). Therefore, we can write: \[ ...
Promotional Banner

Topper's Solved these Questions

  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise ADDITIONAL SOLVED PROBLEMS |22 Videos
  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise EXAMPLES |26 Videos
  • UNITS

    ICSE|Exercise MODULE 3 (SELECTED PROBLEMS) |38 Videos
  • WAVES

    ICSE|Exercise From Musical Sound|10 Videos

Similar Questions

Explore conceptually related problems

Integrate the following functions int_(0)^(r ) (2x-x^(3)) dx

Evaluate the following : int_(0)^(pi//2) cos^(2) " x dx"

Integrate the following function (a) int_(o)^(2) 2t dt (b) int _(pi//6)^(pi//3) sin x dx (c) int _(4)^(10)(dx)/(x) (d) int _(o)^(pi) cos x dx (e) int _(1) ^(2)(2t -4) dt

Evaluate the following integral: int_0^(pi//2)x^2cos2x\ dx

Evaluate the following integral: int_0^(pi//2)(cos^2x)dx

Evaluate the following integrals: int_0^(pi//4)|cos2x|dx

Evaluate the following definite integral int_0^(pi/2) cos^4 x dx

Evaluate the following definite integral int_0^(pi/2) cos^4 x dx

Evaluate the following definite integral: int_0^(pi//2)x^2cos2x\ dx

Evaluate the following integral: int_0^(pi//2)|sin x-cos x|dx

ICSE-VECTORS SCALARS ELEMENTARY CALCULUS -UNSOLVED PROBLEMS
  1. Integrate the following functions int(0)^(pi//2) " cos x dx"

    Text Solution

    |

  2. Differentiate the following w.r.t x 2020

    Text Solution

    |

  3. Differentiate the following w.r.t x pi^(2)

    Text Solution

    |

  4. Differentiate the following w.r.t x pie

    Text Solution

    |

  5. Differentiate the following w.r.t x e^(-5)

    Text Solution

    |

  6. Differentiate the following w.r.t x 16x^(8)

    Text Solution

    |

  7. Differentiate the following w.r.t x x^(-4)

    Text Solution

    |

  8. Differentiate the following w.r.t x x^(5//2)

    Text Solution

    |

  9. Differentiate the following w.r.t x 4x^(3)-10 -6x^(2)

    Text Solution

    |

  10. Differentiate the following w.r.t x x^(2) +3x +3/x

    Text Solution

    |

  11. Differentiate the following w.r.t x tan(3x+1)

    Text Solution

    |

  12. Differentiate the following w.r.t x cos 3x

    Text Solution

    |

  13. Differentiate the following w.r.t x sqrt(sinx)

    Text Solution

    |

  14. Differentiate the following w.r.t x 3x^(2)+12x - 11//x

    Text Solution

    |

  15. Differentiate the following w.r.t x tan x+2 sin + 3 cos x - 1/2 lo...

    Text Solution

    |

  16. Differentiate w.r.t x using product rule . (5x+2) (4-3x)

    Text Solution

    |

  17. Differentiate w.r.t x using product rule . sqrt(x). sec x

    Text Solution

    |

  18. Differentiate w.r.t x using product rule . (ax^(2)+bx+c)(x-d)

    Text Solution

    |

  19. Differentiate w.r.t x using product rule . x^(3) sin x

    Text Solution

    |

  20. Differentiate w.r.t x using product rule . x sin x log x

    Text Solution

    |

  21. Differentiate w.r.t x using product rule . (1+ 2 tan x) ( 5+4 cos x)

    Text Solution

    |