Home
Class 12
MATHS
If I=int ((((sinx)^n-sinx)^(1/n) cosx)/...

If `I=int ((((sinx)^n-sinx)^(1/n) cosx)/((sinx)^(n+1) )) dx` is eqaul to (a) `(n/(n^2-1))(1-1/(sinx^(n-1)))^(1/n+1)+c` (b) `(n/(n^2+1))(1-1/(sinx^(n-1)))^(1/n+1)+c` (c) `(n/(n^2+1))(1-1/(sinx^(n-1)))^(1/n)+c` (d) `(n/(n^2-1))(1-1/(sinx))^(1/n+1)+c`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos
  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

If I_(m,n)= int(sinx)^(m)(cosx)^(n) dx then prove that I_(m,n) = ((sinx)^(m+1)(cosx)^(n-1))/(m+n) +(n-1)/(m+n). I_(m,n-2)

For any n in N, int_(0)^(pi) (sin (2n+1)x)/(sinx)dx is equal to

(n+2)C_0(2^(n+1))-(n+1)C_1(2^(n))+(n)C_2(2^(n-1))-.... is equal to

(d^n)/(dx^n)(logx)=? (a) ((n-1)!)/(x^n) (b) (n !)/(x^n) (c) ((n-2)!)/(x^n) (d) (-1)^(n-1)((n-1)!)/(x^n)

(lim)_(n->oo)(n !)/((n+1)!+n !) is equal to a. 1 b . 0 c. 2 d. 1/2

If I_(n)=int cos^(n)x dx . Prove that I_(n)=(1)/(n)(cos^(n-1)x sinx)+((n-1)/(n))I_(n-2) .

If m , n in N ,("lim")_(xvec0)(sinx^n)/((sinx)^m)i s (a) 1, if n=m (b) 0, if n>m

Let I_(n)=int_(0)^(pi//2)(sinx+cosx)^(n)dx(nge2) . Then the value of n. I_(n)-2(n-1)I_(n-1) is

Find .^(n)C_(1)-(1)/(2).^(n)C_(2)+(1)/(3).^(n)C_(3)- . . . +(-1)^(n-1)(1)/(n).^(n)C_(n)

Evaluate int((cosx)^(n-1))/((sinx)^(n+1))dx= (A) -cot^n x/n+c (B) -cot^n x/(n+1)+c (C) cot^n x/n+c (D) cot^n x/(n+1)+c

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. Consider a two digit number which when divided by 7 leaves the remaind...

    Text Solution

    |

  2. If 4x+3y=24 cut at two points A & B origin (O) then incentre of /\AOB ...

    Text Solution

    |

  3. If I=int ((((sinx)^n-sinx)^(1/n) cosx)/((sinx)^(n+1) )) dx is eqaul t...

    Text Solution

    |

  4. Consider p(m)=m^2 -m+41 (a) P(3) is prime , is true and P(5) is...

    Text Solution

    |

  5. sum(i=1)^20 [(.^20C(i-1))/(.^20Ci+.^20C(i-1))]^3=k/21 then find the va...

    Text Solution

    |

  6. Let I=inta^b (x^4−2x^2)dx for (a,b) which given integration is minimum...

    Text Solution

    |

  7. If x,y are real and (-2-i/3)^3=(x+iy)/27 then value of y-x is equal to...

    Text Solution

    |

  8. The locus of mid points of intercept made by tangents between co-ordin...

    Text Solution

    |

  9. If the sum of infinite positive G.P. is 3 and sum of cubes of there te...

    Text Solution

    |

  10. Evaluate lim(x-gt0) (tan(pisin^2 x)+(|x|-sin(x[x]))^2)/x^2 , where [*...

    Text Solution

    |

  11. Let f(x)={(-,1, -2lexlt0),(x^2,-1,0lexlt2):} if g(x)=|f(x)|+f(|x|) the...

    Text Solution

    |

  12. The system of linear equations x+2y+4z=a, 3x-y+5z=b, 2x-3y+z=c have mo...

    Text Solution

    |

  13. if sum of two sides of a triangle is x and the product of those sides ...

    Text Solution

    |

  14. The equation of common tangent to the curves y^2 =4x and xy=2 is ...

    Text Solution

    |

  15. If x satisfies the condition f(x)={x:x^2+3 0le11x} then maximum value ...

    Text Solution

    |

  16. Out of 30 observation 10 are 1/2+d, 10 are 1/2 and other 10 are 1/2-d ...

    Text Solution

    |

  17. Value of r for which expression ^20Cr ^20C0+^20C(r-1) ^20C1+^20C(r-2)^...

    Text Solution

    |

  18. ((p^^q)vv(pvv~q))^^(~p^^~q)) is equivalent to (A) ~p^^~q ...

    Text Solution

    |

  19. Consider three boxes, each containing 10 balls labelled 1, 2, …,10. Su...

    Text Solution

    |

  20. A tetrahedron has vertices O (0,0,0), A(1,2,1,), B(2,1,3) and C(-1,1,2...

    Text Solution

    |