设 =ln (1+(sin )^2x), 求dy.

求极限 lim _(xarrow 0)dfrac (ln (1+{x)^2)-ln (1+(sin )^2x)}(x{sin )^3x}

1、设 =ln (arctan sqrt (1+{x)^2}) 求dy;

=ln (1+(e)^2x)+ln 2

5.求不定积分 int dfrac ({sin )^2x}(1+{sin )^2x}dx.

设((sin )^2x)=dfrac (x)(sin x)，求((sin )^2x)=dfrac (x)(sin x) .设，求.

设 =(e)^x+y ,求dy.

求极限lim _(xarrow 0)((dfrac {sin x)(x))}^dfrac (1{ln (1+{x)^2)}}求极限

(2) lim _(xarrow 0)[ dfrac (1)(ln (1+{tan )^2x)}-dfrac (1)(ln (1+{x)^2)}]

(2) lim _(xarrow 0)[ dfrac (1)(ln (1+{tan )^2x)}-dfrac (1)(ln (1+{x)^2)}]

设=sin 2x+(ln )^3x，求=sin 2x+(ln )^3x设，求