Home
Class 12
MATHS
In = int0^(pi/4) tan^n x dx , then the v...

`I_n = int_0^(pi/4) tan^n` x dx , then the value of `n(l_(n-1) + I_(n+1))` is

A

1

B

`pi//2`

C

`pi//4`

D

`n`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -2 (LEVEL-II)|11 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise ELEMENTRAY EXERCISE|47 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

I_(n)=int_(0)^((pi)/(4))tan^(n)xdx, then the value of n(l_(n-1)+I_(n+1)) is

IF I_n=int_0^(pi//4) tan^n x dx then what is I_n+I_(n+2) equal to

If I_(n)=int_(0)^(pi//4) tan^(n) x dx, lim_(n to oo) n(I_(n+1)+I_(n-1)) equals

I_n=int_0^(pi//4) tan^n x dx, then lim_(ntooo) n [I_n + I_(n+2)] is equal to (i)1/2 (ii)1 (iii)infty (iv) 0

If I_(n)=int_(0)^(pi//4)tan^(n)x dx , where n ge 2 , then : I_(n-2)+I_(n)=

If I_(n)=int_(0)^(pi)x^(n)sinxdx , then find the value of I_(5)+20I_(3) .

MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. If I (1) = int (0) ^(1) 2 ^(x ^(2)) dx, I (2) = int (0) ^(1) 2 ^(x ^(3...

    Text Solution

    |

  2. If u (n) = int (0) ^(pi//2) x ^(n) sin x dx, n in N then the value of ...

    Text Solution

    |

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

    Text Solution

    |

  4. In = int0^(pi/4) tan^n x dx , then the value of n(l(n-1) + I(n+1)) is

    Text Solution

    |

  5. The value of the integral l = int(0)^(1) x(1-x)^(n) dx is

    Text Solution

    |

  6. Let I (1) = int (0) ^(1) (e ^(x) dx )/( 1 + x) and I (2) = int (0) ^(1...

    Text Solution

    |

  7. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  8. If underset(0)overset(100)intf(x) dx = a, then underset(r=1)overset(10...

    Text Solution

    |

  9. If f(x) and g(x) are continuous functions, then int(In lamda)^(In (1//...

    Text Solution

    |

  10. underset(2-ln3)overset(3+ln3)int(ln(4+x))/(ln(4+x)+ln(9-x))dx is equal...

    Text Solution

    |

  11. If [x] stands for the greatest integer function, the value of overset(...

    Text Solution

    |

  12. Find the value of the function f(x)=1+x+int1^x((lnt)^2+2lnt) dt where ...

    Text Solution

    |

  13. If f(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4) then f^(prime)(2) has th...

    Text Solution

    |

  14. If f(x) is differentiable and int0^(t^2)xf(x)dx=2/5t^5, then f(4/(25))...

    Text Solution

    |

  15. If y(x)=\ int(pi^2//16)^(x^2)(cos xdotcossqrt(theta))/(1+sin^2sqrt(the...

    Text Solution

    |

  16. lim( n to oo) (sin ""(pi)/(2n) . sin ""(2pi)/(2n). sin ""(3pi)/(2n)......

    Text Solution

    |

  17. The value of underset( n rarroo)(lim) underset(r=1)overset(r=4n)(sum)(...

    Text Solution

    |

  18. lim(n->oo) (1^p+2^p+3^p+...........+n^p)/n^(p+1)

    Text Solution

    |

  19. Evaluate : lim(n-> oo) (1^4+2^4+3^4+...+n^4)/n^5 - lim(n->oo) (1^3+2^3...

    Text Solution

    |

  20. underset(n to oo)lim underset(r=1)overset(n)sum(1)/(n)e^(r//n) is

    Text Solution

    |