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Find the value of int(-1)^1d/(dx)(tan^(-...

Find the value of `int_(-1)^1d/(dx)(tan^(-1)(1/x))dx`

A

`pi//2`

B

`-pi//4`

C

`-pi//2`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Section I - Solved Mcqs
  1. If l(n)=int(0)^(pi//4) tan^(n)x dx, n in N "then" I(n+2)+I(n) equals

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  2. If rArr I(n)=int(0)^(pi//4) tan ^(n)x dx, then for any positive integ...

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  3. Find the value of int(-1)^1d/(dx)(tan^(-1)(1/x))dx

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

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  5. If =int(1)^(e) (logx)^(n) dx, "then"I(n)+nI(n-1) is equal to

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  6. If =int(0)^(1) x^(n)e^(-x)dx "for" n in N "then" I(n)-nI(n-1)=

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  7. The value of int(1//n)^((an-1)//n) (sqrt(x))/(sqrt(a-x)+sqrtx)dx, is

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  8. The value of the integral int(0)^(pi//2)log |tan x cot x |dx is

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  9. If I(1)=int(x)^(1)(1)/(1+t^(2)) dt and I(2)=int(1)^(1//x)(1)/(1+t^(2))...

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  10. The value of int(1/e->tanx) (tdt)/(1+t^2) + int(1/e->cotx) (dt)/(t*(1+...

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  11. The absolute value of int(10)^(19) (cosx)/(1+x^(8))dx, is

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  12. If f(x) is an odd pefiodc function defined on the interval [T/2,T/2], ...

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  13. If int(pi//2)^(theta) sin x dx=sin 2 theta then the of theta satisfyin...

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  14. If f(x) is periodic function with period, T, then

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  15. The value of lim(n rarr infty) (1)/(n) {(n+1)(n+2)(n+3)…(n+n)}^(1//n)...

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  16. The points of extremum of phi (x)=int(1)^(x)e^(-t^(2//2)) (1-t^(2)) dt...

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  17. int(-2)^(2) min(x-[x],-x-[x])dx equals, where [x] represents greates i...

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  18. The integral int(0)^(a) (g(x))/(f(x)+f(a-x))dx vanishes, if

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  19. If (1)/(sqrt(a))int(1)^(a)((3)/(2)sqrt(x)+1-(1)/(sqrt(x)))dx lt4 then ...

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  20. Evaluate (int(0)^(n)[x]dx)/(int(0)^(n){x}dx) (where [x] and {x} are in...

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