Home
Class 12
MATHS
Evaluate the following definite integ...

Evaluate the following definite integral: `int_(-sqrt(2))^(sqrt(2))(2x^7+3x^6-10 x^5-7x^3-12 x^2+x+1)/(x^2+2)dx`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/(2 sqrt2) -(16 sqrt2)/(5)`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (3) True and False|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise Problem Set (3) Fill in the blanks|1 Videos

  • DEFINITE INTEGRAL

    ML KHANNA|Exercise ProblemSet (2) Fill in the blanks|1 Videos

  • CORRELATION AND REGRESSION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |10 Videos

  • DETERMINANTS

    ML KHANNA|Exercise Self Assessment Test |19 Videos

Similar Questions

Explore conceptually related problems

Evaluate the following definite integral: int_(-2)^2(x^2-x)/(sqrt(x^2+4))dx

Evaluate the following definite integral: int_(1)^(2)(x+3)/(x(x+2))dx

Evaluate the following definite integral: int_(0)^(2)(1)/(sqrt(3+2x-x^(2)))dx

Evaluate the following definite integral: int_(1)^(4)(x^(2)+x)/(sqrt(2x+1))dx

Evaluate the following definite integral: int_0^(sqrt(3))sin^(-1)(2x)/(1+x^2\ )dx

Evaluate the following definite integrals: int_(0)^(1)x sqrt((1-x^(2))/(1+x^(2)))dx

Evaluate the following integrals int (x-3)/sqrt(3-2x-x^(2))dx

Evaluate the following integral: int_1^2x\ sqrt(3x-2)\ dx

Evaluate the following definite integrals (1-28):int_(1)^(2)(1)/(sqrt((x-1)(2-x)))dx

Evaluate the following integral: int_2^8(sqrt(10-x))/(sqrt(x)+sqrt(10-x))dx

ML KHANNA-DEFINITE INTEGRAL-Problem set (3) (Multiple Choice Questions)
  1. overset(-pi//2)underset(-3pi//2)int{(x+pi)^(3)+cos^(2)(x+3pi)}dx, is

    Text Solution

    |

  2. Evaluate: int0^pi(xsin2xsin(pi/2cosx))/(2x-pi)dx

    Text Solution

    |

  3. Evaluate the following definite integral: int(-sqrt(2))^(sqrt(2))(2...

    Text Solution

    |

  4. The value of int(-2)^(2) (ax^(3) + bx+ c) dx depends on which followin...

    Text Solution

    |

  5. If f(x)= ax^(2) +bx +c such that f(0)=2 f'(0)= -3, f''(0) =4, then int...

    Text Solution

    |

  6. int(-pi//2)^(pi//2) sin^(2) x cos^(2) x (sin x +cos x) dx=

    Text Solution

    |

  7. The value of the integral int(-1//2)^(1//2) cos x log ((1+x)/(1-x)) dx

    Text Solution

    |

  8. The integral value of int(-2)^(0) [x^(3)+3x^(2) +3x +3+ (x+1) cos (x+1...

    Text Solution

    |

  9. The value of the integral int(-pi//4)^(pi//4) (1)/(sin^(4) x) dx is

    Text Solution

    |

  10. The value of the integral overset(1//2)underset(-1//2)int {((x+1)/(...

    Text Solution

    |

  11. The value of the integral int(-1)^(1) log (x+ sqrt(x^(2)+1)) dx is

    Text Solution

    |

  12. The value of overset(pi//2)underset(-pi//2)int sin{log(x+sqrt(x^(2)+1)...

    Text Solution

    |

  13. int(log 1//2)^(log 2) sin {(e^(x)-1)/(e^(x) +1}dx=

    Text Solution

    |

  14. The value of overset(1//2)underset(-1//2)int |xcos((pix)/(2))|dx is

    Text Solution

    |

  15. The function F(x)= int(0)^(x) log (t+ sqrt(1+t^(2)))dt is

    Text Solution

    |

  16. The function F(x)= int(0)^(pi) "log" ((1-x))/((1+x)) dx is a function ...

    Text Solution

    |

  17. The antiderivative of every odd function is an

    Text Solution

    |

  18. If n in N, then int(-n)^(n) (-1)^([x]) dx equals

    Text Solution

    |

  19. int(-1)^(1) (sqrt(1+x+x^(2))-sqrt(1-x+x^(2))) dx =

    Text Solution

    |

  20. The value of int(-pi)^(pi) (1-x^(2)) sin x cos^(2) x dx is

    Text Solution

    |