Home
Class 12
MATHS
If int0^t(bxcos4x-asin4x)/(x^2)=(asin4t)...

If `int_0^t(bxcos4x-asin4x)/(x^2)=(asin4t)/t-1` where `0lttltpi/4,` then the values of `a , b` are, respectively, equal to (A) `1 /4,1` (B) `-1,4` (C) `2,2` (D) `2, 4`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INEQUALITIES INVOLVING MEANS

    CENGAGE ENGLISH|Exercise Jee Advanced (Single|1 Videos

  • INTRODUCTION TO VECTORS

    CENGAGE ENGLISH|Exercise MATRIX-MATCH TYPE|3 Videos

Similar Questions

Explore conceptually related problems

If int e^(3x)cos4xdx=e^(3x)(Asin4x+Bcos4x)+C , then:

If underset(0)overset(x)int (bt cos 4 t - a sin 4t)/( t^(2))dt=(a sin 4x)/(x) "for all" x ne0 , then a and b are given by

If A-B=pi//4 , then (1+t a n A)(1-t a n B) is equal to 2 b. 1 c. 0 d. 3

7(int_0^1(x^4(1-x)^4dx)/(1+x^2)+pi) is equal to

7(int_0^1(x^4(1-x)^4dx)/(1+x^2)+pi) is equal to

int_(-pi//2)^(pi//2) cos x dx is equal to A) 0 B) 1 C) 2 D) 4

int_0^2 x^3[1+cos((pix)/2)]dx , where [x] denotes the integral part of x , is equal to (A) 1/2 (B) 1/4 (C) 0 (D) none of these

5.The value of (i^(4x+1)-i^(4x-1))/(2) is equal to (a) 1 (b) -1 (c) -i (d) 0

If F(x)=int_(1)^(x) f(t) dt ,where f(t)=int_(1)^(t^(2))(sqrt(1+u^(4)))/(u) du , then the value of F''(2) equals to

In triangle A B C , if sinAcosB=1/4a n d3t a n A=t a n B ,t h e ncot^2A is equal to 2 (b) 3 (c) 4 (d) 5.

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

    Text Solution

    |

  2. Match the statements/expression given in Column I with the values give...

    Text Solution

    |

  3. If int0^t(bxcos4x-asin4x)/(x^2)=(asin4t)/t-1 where 0lttltpi/4, then th...

    Text Solution

    |

  4. If I1=int0^pixf(sin^3x+cos^2x)dxa n d I2=int0^(pi/2)f(sin^3x+cos^2x)d...

    Text Solution

    |

  5. int0^(pi/2)(sqrt(sinx))/(sqrt(sinx)+sqrt(cosx)) dx

    Text Solution

    |

  6. If Un=int0^1x^n(2-x)^ndxa n dVn=int0^1x^n(1-x)^n dx ,n in N , and if ...

    Text Solution

    |

  7. Find the value of int0^1 2x^3-3x^2-x+1 3dxdot

    Text Solution

    |

  8. If int0^oox^(2n+1)dote^(-x^2)dx=360 , then the value of n is

    Text Solution

    |

  9. Evaluate: int0^oo(dx)/(1+x^2)

    Text Solution

    |

  10. Iflambda=int0^(pi/2)costhetaf(sintheta+cos^2theta)dtheta a n dI2=int0...

    Text Solution

    |

  11. If f(a+b-x)=f(x), then prove that inta^b xf(x)dx=(a+b)/2inta^bf...

    Text Solution

    |

  12. Let I1=int(-2)^2(x^6+3x^5+7x^4)/(x^4+2)dx and I2=int(-3)^1(2(x+1)^2+1...

    Text Solution

    |

  13. Find the value of int0^(pi/2)sin2xdx

    Text Solution

    |

  14. The value of int0^(pi/2)cos^2xdx

    Text Solution

    |

  15. prove that |sint| is non-differentiable at t=pi.

    Text Solution

    |

  16. Find the value of int0^1x(1-x)dx

    Text Solution

    |

  17. Let Sn=sum(k=0)^n n/(n^2+kn+k^2) and Tn=sum(k=0)^(n-1) n/(n^2+kn+k^2) ...

    Text Solution

    |

  18. The value of the definite integral int(sqrt2-1)^(sqrt(2)+1)(x^4+x^2+2...

    Text Solution

    |

  19. If a continuous function f on [0, a] satisfies f(x)f(a-x)=1, a >0, the...

    Text Solution

    |

  20. L e tJ=int(-5)^(-4)(3-x^2)tan(3-x^2)dx and K=int(-2)^(-1)(6-6x+x^2) t...

    Text Solution

    |