Home
Class 12
MATHS
IfIn=int0^pix^nsinx dx ,t h e n fin d t ...

`IfI_n=int_0^pix^nsinx `dx ,t h e n fin d t h e v a l u eof `I_5+20 I_3dot`

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

IfI_I=int_0^(pi//2)cos(sinx)dx ,I_2=int_0^(pi/2)sin(cosx)d ,a n dI_3=int_0^(pi/2)cosx dx , then find the order in which the values I_1,I_2,I_3, exist.

f(x)=int_1^x(tan^(-1)(t))/t dtAAx in R^+,t h e nfin dt h ev a l u eof f(e^2)-f(1/(e^2))

If I_1=int_0^pixf(sin^3x+cos^2x)dxa n d I_2=int_0^(pi/2)f(sin^3x+cos^2x)dx ,t h e nr e l a t eI_1a n dI_2

If S_n=sum_(r=1)^n r !(n >6),"t h e nf i n dt h ev a l u eo f" [cot^(-1)(cot(s_n-7[(S_n)/7]))],"w h e r e"[dot]"d e n o t e sg r e a t e s t" integer function

IfI_n=int_0^1x^n(tan^(-1)x)dx ,t h e np rov et h a t (n+1)I_n+(n-1)I_(n-2)=-1/n+pi/2

IfI_n=int_0^pie^x(sin"x")^("n")dx ,t h e n(I_3)/(I_1)"is equal to" 3/5 (b) 1/5 (c) 1 (d) 2/5

IfI_n=int_0^1(1-x^5)^n dx ,t h e n(55)/7(I_(10))/(I_(11)) is equal to

If I_n=int_0^1(1-x^5)^n dx ,t h e n(55)/7(I_(10))/(I_(11)) is equal to ___

Let u=int_0^1("ln"(x+1))/(x^2+1)dx a n d v=int_0^(pi/2)ln(sin2x)dx ,t h e n (a) u=-pi/2ln2 (b) 4u+v=0 (c) u+4v=0 (d) u=pi/8ln2

Let u=int_0^1("ln"(x+1))/(x^2+1)dxa n dv=int_0^(pi/2)ln(sin2x)dx ,t h e n u=-pi/2ln2 (b) 4u+v=0 u+4v=0 (d) u=pi/8ln2

CENGAGE ENGLISH-INTEGRALS-All Questions
  1. If int0^1e^ (-x^2) dx=a , then find the value of int0^1x^2e^ (-x^2) dx...

    Text Solution

    |

  2. Ifint0^(f(x))t^2dt=xcospix ,t h e nf^(prime)(9)i s -1/9 (b) -1/3 (c...

    Text Solution

    |

  3. IfIn=int0^pix^nsinx dx ,t h e n fin d t h e v a l u eof I5+20 I3dot

    Text Solution

    |

  4. The value of int0^1lim(n->oo)sum(k =0)^n(x^(k+2)2^k)/(k!)dx is: (a) e ...

    Text Solution

    |

  5. If I(n)=int(0)^(pi/2) sin^(n)x dx, then show that I(n)=((n-1)n)I(n-2)....

    Text Solution

    |

  6. If A=int0^1 x^(50)(2-2x)^(50)dx ,B=int0^1 x^(50)(1-x)^(50)dx , which ...

    Text Solution

    |

  7. If In=int0^1(dx)/((1+x^2)^n); n in N , then prove that 2nI(n+1)=2^(-n...

    Text Solution

    |

  8. Given that f satisfies |f(u)-f(v)|lt=|u-v| for u and v in [a , b]dot T...

    Text Solution

    |

  9. IfIn=int0^1x^n(tan^(-1)x)dx ,t h e np rov et h a t (n+1)In+(n-1)I(n-2...

    Text Solution

    |

  10. IfI=int(-20pi)^(20pi)|sinx|[sinx]dx(w h e r e[dot] denotes the greate...

    Text Solution

    |

  11. If Im=int1^x(logx)^mdx satisfies the relation (Im)=k-l I(m-1) then

    Text Solution

    |

  12. The value of the integral int0^1sqrt((1-x)/(1+x))dx i s (a)pi/2+1 (b...

    Text Solution

    |

  13. IfI(m , n)=int0^(pi/2)sin^m xcos^n xdx , Then show that I(m , n)=(m-1...

    Text Solution

    |

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

    Text Solution

    |

  15. If IK=int1^e(lnx)^kdx(k in I^+)dx(k in I^+), then find the value of...

    Text Solution

    |

  16. If int0^x {int0^u f(t) dt}du is equal to (a) int0^x (x-u) f(u) (b) ...

    Text Solution

    |

  17. Prove that: In=int0^oox^(2n+1) e^ (-x^2) dx=(n !)/2,n in N.

    Text Solution

    |

  18. The value of the integral underset(-1)overset(3 )int ("tan"^(1)(x)/(...

    Text Solution

    |

  19. It is known that f(x) is an odd function in the interval [-p/2, p/2] ...

    Text Solution

    |

  20. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

    Text Solution

    |