Home
Class 12
MATHS
int1^2 x^(2x^2+1)(1+2lnx)dx is equal to...

`int_1^2 x^(2x^2+1)(1+2lnx)dx` is equal to

A

256

B

255

C

`(255)/(2)`

D

`128`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - II|23 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 2 Part - III|30 Videos

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise Exercise 1 Part-III|2 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

  • DPP

    RESONANCE|Exercise QUESTION|665 Videos

Similar Questions

Explore conceptually related problems

int_(1)^(2)x^(2x^(2)+1)(1+2ln x)dx is equal to

int(x^(2)+1)/(x)dx is equal to -

int(1+x^(2))/(x)dx is equal to:

int x^(x^2+1) (2lnx+1) dx=

int((x+1)^(2))/(x(x^(2)+1))dx is equal to:

int_(0)^(1) (x^(2))/(1+x^(2))dx is equal to

The integral int_(-1)^(1) (|x+2|)/(x+2)dx is equal to

RESONANCE-DEFINITE INTEGRATION & ITS APPLICATION -Exercise 2 Part - 1
  1. The tangent, represented by the graph of the function y=f(x), at the p...

    Text Solution

    |

  2. Let A = int(0)^(1)(e^(t))/(1+t) dt, then int(a-1)^(a)(e^(-1))/(t-a-1) ...

    Text Solution

    |

  3. int1^2 x^(2x^2+1)(1+2lnx)dx is equal to

    Text Solution

    |

  4. If f(x) is a function satifying f(1/x) + x^(2)f(x) = 0 for all non-ze...

    Text Solution

    |

  5. If C0/1+C1/2+C2/3=0 , where C0 C1, C2 are all real, the equation C2x...

    Text Solution

    |

  6. If f(x) = int(0)^(x)(2cos^(2)3t+3sin^(2)3t)dt, f(x+pi) is equal to :

    Text Solution

    |

  7. Let f(x) = int(0)^(x)(dt)/(sqrt(1+t^(2))) and g(x) be the inverse of ...

    Text Solution

    |

  8. Let f(x) is differentiable function satisfying 2int(1)^(2)f(tx) dt ...

    Text Solution

    |

  9. Let I(n) = int(0)^(1)x^(n)(tan^(1)x)dx, n in N, then

    Text Solution

    |

  10. If u(n) = int(0)^(pi//2) x^(n)sinxdx, then the value of u(10) + 90 u(...

    Text Solution

    |

  11. The value of int(1//e)^(tanx)(t)/(1+t^(2))dt+int(1//e)^(cotx)(1)/(t(1+...

    Text Solution

    |

  12. Let A(1) = int(0)^(x)(int(0)^(u)f(t)dt) dt and A(2) = int(0)^(x)f(u).(...

    Text Solution

    |

  13. lim(nrarroo) (sin'(pi)/(2n).sin'(2pi)/(2n).sin'(3pi)/(2n)"......."sin'...

    Text Solution

    |

  14. Area bounded by the region consisting of points (x,y) satisfying y le ...

    Text Solution

    |

  15. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

    Text Solution

    |

  16. The area bounded by the curve x = a cos^3t,, y = a sin^3t, is :

    Text Solution

    |

  17. The area bounded by the curve f(x)=x+sinx and its inverse function bet...

    Text Solution

    |

  18. P(2,2), Q(-2,2) R(-2,-2) & S(2,-2) are vertices of a square. A para...

    Text Solution

    |

  19. The ratio in which the curve y = x^(2) divides the region bounded by ...

    Text Solution

    |

  20. If f(x)=sinx ,AAx in [0,pi/2],f(x)+f(pi-x)=2,AAx in (pi/2,pi)a n df(x)...

    Text Solution

    |