Home
Class 12
MATHS
If I(n)=int cot^(n) x dx, then I(0)+I(1)...

If `I_(n)=int cot^(n) x dx`, then `I_(0)+I_(1)+2(I_(2)+I_(3)+...+I_(8))+I_(9)+I_(10)` equals to (where `u=cot x`)

A

`u+(u^(2))/(2)+...+(u^(9))/(9)`

B

`-(u+(u^(2))/(2)+...+(u^(9))/(9))`

C

`-(u+(u^(2))/(2!)+...+(u^(9))/(9!))`

D

`u/2 + (2u^(2))/(3)+...+(9u^(9))/(10)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Solved Examples (Matching Type Questions )|1 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise For Session 1|15 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If I_(n)=int("In "x)^(n)dx, " then " I_(n)+nI_(n-1)=

If I_n = int cot^n xdx then (cot^(n - 1))/(n - 1) equals

If I_(n)=int_(0)^(pi)(1-sin2nx)/(1-cos2x)dx then I_(1),I_(2),I_(3),"….." are in

((1+i)/(1-i))^2 is equal to:

((1+i)/(1-i))^2 is equal to:

sqrt((-8-6i)) is equal to (where, i=sqrt(-1)

For f(x) =x^(4) +|x|, let I_(1)= int _(0)^(pi)f(cos x) dx and I_(2)= int_(0)^(pi//2) f(sin x ) dx "then" (I_(1))/(I_(2)) has the value equal to

"Let " I_(n)=int tan^(n)x dx,(n gt 1). I_(4)+I_(6)=a tan^(5)x+bx^(5)+C, " where C is a constant of integration, then the ordered pair (a,b) is equal to "

Q. int_0^pie^(cos^2x)( cos^3(2n+1) x dx, n in I