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Statement I The value of the integral i...

Statement I The value of the integral `int_(pi//6)^(pi//3) (dx)/(1+sqrt(tan x))`
Statement II `int_(a)^(b) f(x) dx = int_(a)^(b) f(a+b-x)dx`

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Statement I The value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(tan x)) is pi/6 Statement II int_(a)^(b) f(x) dx = int_(a)^(b) f(a+b-x)dx

The value of the integral int_(pi//6)^(pi//3) (1)/(1+sqrt(tan x))dx is

The value of the integral int_(pi//6)^(pi//3)(dx)/(1+tan^(5)x) is

Statement I: The value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(tanx)) is equal to (pi)/6 . Statement II: int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

Prove that int_(a)^(b) f(x) dx= int_(a)^(b) f(a+b-x) dx

Statement-1: The value of the integral int_(pi//6)^(pi//3) (1)/(sqrt(tan)x)dx is equal to (pi)/(6) Statement-2: int_(a)^(b) f(x)dx=int_(a)^(b) f(a+b-x)dx

int_(pi//6)^(pi//3)(1)/(1+tan x) dx=

Prove that the equality int_(a)^(b) f(x) dx = int_(a)^(b) f(a + b - x) dx

Statement I int_((pi)/(6))^((pi)/(3))(1)/(1+tan^(3)x) is (pi)/(12) statement II int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-Questions from Previous Years. AIEEE/ JEE Main Papers
  1. Ifg(x)= int(0)^(x) cos 4t dt, "then " g (x+pi) equals

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  2. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

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  3. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

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  4. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x)) dx is

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  5. Variable x and y are related by equation x =int0^y (dt)/sqrt(1+t^2). ...

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  6. The integral int(7pi//4)^(7pi//3) sqrt(tan^(2) x) dx is equal to

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  7. The integral int0^pisqrt(1+4sin^2x/2-4sinx/2dx) equal (1) pi-4 (2)...

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  8. the integral int0^(1/2) (ln(1+2x))/(1+4x^2) dx equals

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  9. If for n ge 1, P(n) = int(1)^( e) (log x)^(n) dx, then P(10) - 90P(8) ...

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  10. int(0)^(pi)[cos x] dx, [ ] denotes the greatest integer function , is ...

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  11. If for a continuous function f(x), int(-pi)^(t) (f(x)+ x) dx= pi^(2) -...

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  12. Let function F be defined as f(x)= int1^x e^t/t dt x > 0 then the v...

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  13. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

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  14. Let f: RR rarr RR be a function such that f(2 - x) =f(2 + x) and f(4-x...

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  15. Let f : (-1,1) to R be continous function , if int (0)^(sinx) f(t)...

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  16. If f(x)=underset(1)overset(x)int (log t)/(1+t) dt"then" f(x)+f((1)/(x)...

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  17. If 2int0^1 tan^(-1)x dx= int0^1 cot^(-1)(1-x+x^2) dx then int0^1 tan^(...

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  18. underset (n rarr infty )(lim) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is e...

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  19. int4^10([x^2])/([x^2-28 x+196]+[x^2])dx is (A) 3 (B) 5 (C) 7 (D) 9

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  20. The integral int(pi/12)^(pi/4)(8cos2x)/((tanx+cotx)^3)dx equals

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