`(lim)_(xvecpi/2)((1-s in x)(8x^3-pi^3)cos x)/((pi-2x)^4)` `(pi^2)/6` b. `(3pi^2)/(16)` c. `(pi^2)/(16)` d. `-(3pi^2)/(16)`

lim_(xrarr(pi)/(2)) ((1-sinx)(8x^(3)-pi^(3)))/(pi-2x)^(4)

lim_ (x rarr pi / 2) ((1-sin x) (8x ^ (3) -pi ^ (3)) cos x) / ((pi-2x) ^ (4))

int_(-(pi)/(3))^(0)[cot^(-1)((2)/(2cos x-1))+cot^(-1)(cos x-(1)/(2))]dx is equal to (pi^(2))/(6) (b) (pi^(2))/(3) (c) (pi^(2))/(8) (d) (3 pi^(2))/(8)

int_(0)^( pi)(x tan x)/(sec x+cos x)dx is (pi^(2))/(4)(b)(pi^(2))/(2)(c)(3 pi^(2))/(2) (d) (pi^(2))/(3)

lim_(x rarr oo)x^(2)sin(log_(e)sqrt(cos(pi)/(x))) a.0 b.-(pi^(2))/(2)c-(pi^(2))/(4)d.-(pi^(2))/(8)

lim_ (x rarr (pi) / (6)) (2-sqrt (3) cos x-sin x) / ((6x-pi) ^ (2))

lim_ (x rarr pi / 4) ((sin ^ (3) x-cos ^ (3) x) / (x-pi / 4)) ^ (2) =

int_ (0) ^ ((pi) / (2)) tan ^ (- 1) ((1 + sin x) / (cos x)) dx is (A) pi (B) (3 pi ^ (2)) / (16) (C) (pi ^ (2)) / (8) (D) (pi) / (8)

cos^(2)""(pi)/(16)+cos^(2)""(3pi)/(16)+cos^(2)""(5pi)/(16)+cos^(2)""(7pi)/(16)=?

int_(-3pi//2)^(-pi//2){(x+pi)^(3)+cos^(2)(x+3pi)}dx , is