Home
Class 12
MATHS
The value of int0^1(2x^2+3x+3)/((x+1)(x^...

The value of `int_0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dx` is

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE PUBLICATION|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

Similar Questions

Explore conceptually related problems

The value of int_(2)^(3)(dx)/(2x+1) is-

Find the value of int_0^2|x^2+2x-3|dx .

The value of int_0^1 4x^3 {d^2/(dx^2) (1 - x^2)^5 } dx is

The value of int_0^(pi/2)dx/(1+tan^3x) is

The value of int_0^1(x^4(1-x)^4)/(1+x^2)dx is/are (a) (22)/7-pi (b) 2/(105) (c) 0 (d) (71)/(15)-(3pi)/2

find the value of int((x^3+8)(x-1))/(x^2-2x+4)dx

The value of int_(1)^(2)(x+1)/(x^(3))dx is-

If int_0^1e^ (-x^2) dx=a , then find the value of int_0^1x^2e^ (-x^2) dx in terms of a .

STATEMENT 1 : The value of int_0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STATEMENT 2 : int_a^bf(x)dx=int_0^bf(a+b-x)dx then Which of the following statement is correct ?

Evaluate: int_0^1(2-x^2)/((1+x)sqrt(1-x^2))dx

CENGAGE PUBLICATION-INTEGRALS-All Questions
  1. If An=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,Bn=int0^(pi/2)((sinn x)/(sinx)...

    Text Solution

    |

  2. A continuous real function f satisfies f(2x)=3f(x)AAx in RdotIfint0^...

    Text Solution

    |

  3. The value of int0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dx is

    Text Solution

    |

  4. Evaluate: int(sin^(-1)x)/(1-x^2)^(3//2)dx

    Text Solution

    |

  5. If f(x) is differentiable and int0^(t^2) x f(x) dx=2/5t^5, then f(4/(2...

    Text Solution

    |

  6. Evaluate: int1^oo (e^(x+1)+e^(3-x))^(-1)dx

    Text Solution

    |

  7. If f(x)=int(x^2)^(x^2+1)e^(-t^2)dt , then f(x) increases in

    Text Solution

    |

  8. Estimate the absolute value of the integral int(10)^(19)(sinx)/(1+x^8)...

    Text Solution

    |

  9. If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...

    Text Solution

    |

  10. Prove that 4 lt= int1^3 sqrt(3+x^2) dx lt= 4sqrt(3)

    Text Solution

    |

  11. If I1=int0^(pi//2)(cos^2x)/(1+cos^2x)dx , I2=int0^(pi//2)(sin^2x)/(1+s...

    Text Solution

    |

  12. Prove that int0^1sqrt((1+x)(1+x^3))\ dx cannot exceed sqrt((15)/8).

    Text Solution

    |

  13. Let T >0 be a fixed real number. Suppose f is continuous function su...

    Text Solution

    |

  14. Evaluate: int0^1 1/(sqrt(1-x^2))sin^(-1)(2xsqrt(1-x^2))dxdot

    Text Solution

    |

  15. Let f(x)=int1^xsqrt(2-t^2)dtdot Then the real roots of the equation x...

    Text Solution

    |

  16. Evaluate: int(-pi//2)^(pi//2) sqrt(cosx-cos^3x) dx

    Text Solution

    |

  17. If f(2-x)=f(2+x) and f(4-x)=f(4+x) for all x and f(x) is a function fo...

    Text Solution

    |

  18. int(-1)^2|x^3-x|dxdot

    Text Solution

    |

  19. If f(x) is integrable over [1,2], then int1^2f(x)dx is equal to (a) ...

    Text Solution

    |

  20. Evaluate: int(-pi/2)^(pi)sin^(-1)(sinx)dx

    Text Solution

    |