Home
Class 12
MATHS
For alpha,beta,gamma,delta in NN, if int...

For `alpha,beta,gamma,delta in NN`, if `int((x/e)^(2x)+(e/x)^(2x))logx dx=1/alpha(x/e)^(betax)-1/gamma(e/x)^(deltax)+C`, where `e=sum_(n=0)^oo 1/(n!)` and C is constant of integration, then `alpha+2beta+3gamma-4delta` is equal to

A

1

B

4

C

-4

D

-8

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

  • JEE MAIN 2024

    JEE MAINS PREVIOUS YEAR|Exercise Questions|18 Videos

Similar Questions

Explore conceptually related problems

if alpha,beta,gamma,del t are roots of x^(4)-100x^(3)+2x^(2)+10=0 then find ((1)/(alpha))+((1)/(beta))+((1)/(gamma))+((1)/(delta))

If alpha,beta,gamma,delta are the roots of ax^(4)+bx^(3)+cx^(2)+dx+e=0 then sum alphabetagamma

If alpha, beta, gamma, delta are roots of x^(4) + px^(3) + qx^(2) + rx + s = 0 then sum alpha^(2) beta gamma =

If alpha,beta,gamma are the roots of the equation 2x^(3)x^(2)+x-1=0 then alpha^(2)+beta^(2)+gamma^(2)=

If alpha beta gamma are the roots of x^3+x^2-5x-1=0 then alpha+beta+gamma is equal to

If alpha beta gamma are roots of x^(3)+x^(2)-5x-1=0 then alpha + beta + gamma is equal to

If alpha,beta,gamma are the roots of x^(3)+2x^(2)+3x+8=0 then (alpha+beta)(beta+gamma)(gamma+alpha)=

42.If int(sin2x+2tan x)/((cos^(6)x+6cos^(2)x+4))dx=(1)/(alpha)ln| beta+(delta)/(cos^(gamma)x)+(gamma)/(cos^(delta)x)|+c where c is constant of Integration and alpha; beta ;gamma ;delta in N and gamma delta then then which of the following is

JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
  1. Let veca=2hati=7hatj-hatk,vecb=3hati+5hatk and vec c=hati-hatj=2hatk. ...

    Text Solution

    |

  2. let f be a continuous function satisfying int0^(t^2) 9f(x)+x^2)dx=(4t^...

    Text Solution

    |

  3. For alpha,beta,gamma,delta in NN, if int((x/e)^(2x)+(e/x)^(2x))logx dx...

    Text Solution

    |

  4. Let g(x)=f(x)+f(1-x) and f''(x) gt 0,x in (0,1). If g is decreasing in...

    Text Solution

    |

  5. The statement ~[pvv(~(p^^q))] is equivalent to

    Text Solution

    |

  6. Let a circle of radius of 4 be concentric to the ellipse 15x^2+19y^2=2...

    Text Solution

    |

  7. Let S={x in (-pi/2,pi/2) : 9^(1-tan^2x)+9^(tan^2x)=10} and beta=sum(x ...

    Text Solution

    |

  8. Let A={2,3,4} and B={8,9,12}. Then the number of elements in the relat...

    Text Solution

    |

  9. Let a die be rolled n times. Let the probability of getting odd number...

    Text Solution

    |

  10. Let S={z=x=iy: (2z-3i)/(4z+2i) is a real number}. Then which of the fo...

    Text Solution

    |

  11. If Sn=4+11+21+34+50+... to n terms, then 1/60(S(29)-S9) is equal to

    Text Solution

    |

  12. If A=1/(5!6!7!)[[5!,6!,7!],[6!,7!,8!],[7!,8!,9!]], then |adj(adj(2A))|...

    Text Solution

    |

  13. Let A be the point (1,2) and B be any point on the curve x^2+y^2=16. I...

    Text Solution

    |

  14. If the coefficients of x and x^2 in (1+x)^p(1-x)^q are 4 and -5 respec...

    Text Solution

    |

  15. If the points P and Q are respectively the circumcenter and the orthoc...

    Text Solution

    |

  16. Let the line x/1=(6-y)/2=(z+8)/5 intersect the lines (x-5)/4=(y-7)/3=(...

    Text Solution

    |

  17. Suppose a1, a2, 2, a3,a4 be in an arithmeticogeometric progression. If...

    Text Solution

    |

  18. In the figure theta1+theta2=pi/2 and sqrt3(BE)=4(AB). If the area of t...

    Text Solution

    |

  19. If the area of the region {(x, y) : |x^2 – 2| le y lex} is A then 6A +...

    Text Solution

    |

  20. Let the tangent at any point P on a curve passing through the points (...

    Text Solution

    |