Home
Class 12
MATHS
Evaluate the following integrals: in...

Evaluate the following integrals: `int_(-1)^1|xcospix|dx`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY

    RD SHARMA ENGLISH|Exercise All Questions|282 Videos
  • DERIVATIVES AS A RATE MEASURER

    RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following integral: int_(-1)^1|2x+1|dx

Evaluate the following integrals : int_(-1)^1(x+3)dx

Evaluate the following integral: int_(-3)^3|x+1|dx

Evaluate the following integral: int_(-1)^2|2x+3|dx

Evaluate the following integral: int_(-2)^2|x+1|dx

Evaluate each of the following integral: int_(-1)^1x|x|dx

Evaluate the following integral: int_0^4|x-1|dx

Evaluate the following integral : int(1)/(x^(4)+1)dx

Evaluate the following integrals int_1^3(2x+3)dx

Evaluate the following integral: int_1^2|x-3|dx

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
  1. Prove that: int0^pix/(1-cosalphasinx)dx=(pi(pi-alpha))/(sinalpha)

    Text Solution

    |

  2. Evaluate the following integrals: (1-35) int(-a)^a log((a-sintheta...

    Text Solution

    |

  3. Evaluate the following integrals: int(-1)^1|xcospix|dx

    Text Solution

    |

  4. Evaluate the following integrals: (1-35) int0^pi(x/(1+sin^2x)+cos^7...

    Text Solution

    |

  5. Evaluate : int0^pix/(1+sinalphasinx)dx

    Text Solution

    |

  6. Evaluate the following integrals: (1-35) int0^(pi//2)(asinx+bcosx)/...

    Text Solution

    |

  7. Evaluate the following integrals as limit of sums: int0^2(x+4)dx (...

    Text Solution

    |

  8. Evaluate int1^4(x^2-\ x)\ dx as a limit of sums.

    Text Solution

    |

  9. Evaluate: inta^bsinx dx using limit of sum

    Text Solution

    |

  10. Mark the correct alternative in each of the following: int0^1sqrt(x...

    Text Solution

    |

  11. Evaluate : int0^pi1/(1+sinx)dx

    Text Solution

    |

  12. If int0^asqrt(x)dx=2aint0^(pi//2)sin^3xdx find the value of inte...

    Text Solution

    |

  13. Evaluate: (i)int0^4 1/(sqrt(x^2+2x+3))dx (ii) int0^a1/(sqrt(a x-x...

    Text Solution

    |

  14. If int0^1(3x^2+2x+k)dx=0, find the value of kdot

    Text Solution

    |

  15. If int1^a (3x^2 + 2x +1)dx = 11 then the value of a is

    Text Solution

    |

  16. If inta^b x^3dx=0, and If inta^b x^2dx=2/3, find a and b.

    Text Solution

    |

  17. Evaluate: int0^(pi//2)sqrt(1-cos2x)dxdot

    Text Solution

    |

  18. Evaluate: int0^(pi//2)sin^4xdx

    Text Solution

    |

  19. Evaluate: int0^(pi//4)sqrt(1+sin2x)dx (ii) int0^(pi//4)sqrt(1-sin2x...

    Text Solution

    |

  20. Evaluate: int(pi//4)^(pi//2)sqrt(1-sin2x)dx

    Text Solution

    |