`x (log x)^(2)` का समाकलन कीजिए-

" (8) "int(sin^(2)x-cos^(2)x)/(sin^(2)x cos^(2)x)dx" का मान ज्ञात कीजिए। "

If sinx =2/3 , then find the value of cos3x . यदि sinx =2/3 ,तो cos3x का मान ज्ञात कीजिए।

int _(2) ^(4) (log x ^(2))/( log x ^(2) + log (36-12 x + x ^(2)) dx is

" (a) "int_(0)^( pi/6)sqrt(1-sin2x)dx" का मान ज्ञात कीजिए "

int (log x)/(x^(2))dx is equal to a) (log x)/(x) + (1)/(x^(2)) +C b) -(log x)/(x) + (2)/(x) + C c) -(log x)/(x) - (1)/(2x) + C d) -(log x)/(x) - (1)/(x) + C

dy/dx का मान ज्ञात कीजिए यदि x=2at,y=at^2

If 9^("log"3("log"_(2) x)) = "log"_(2)x - ("log"_(2)x)^(2) + 1, then x =

If 9^("log"_3("log"_(2) x)) = "log"_(2)x - ("log"_(2)x)^(2) + 1, then x =

int(log(x+1)-log x)/(x(x+1))dx= (A) log(x-1)log x+(1)/(2)(log x-1)^(2)-(1)/(2)(log x)^(2)+c (B) (1)/(2)(log(x+1))^(2)+(1)/(2)(log x)^(2)-log(x+1)log x+c (C) -(1)/(2)(log(x+1)^(2))-(1)/(2)(log x)^(2)+log x*log(x+1)+c (D) [log(1+(1)/(x))]^(2)+c