`x=2+sqrt(3),f i n d t h e v a l u e o fx^2+1/(x^2)`

f(x)=int_1^x(tan^(-1)(t))/t dtAAx in R^+,t h e nfin dt h ev a l u eof f(e^2)-f(1/(e^2))

If sin(A-B)=1/(sqrt(10 ,))cos(A+B)=2/(sqrt(29)),fin dt h ev a l u eof2Aw h e r eAa n dBl i eb e t w e e n0a n dpi/4dot

I fx+1/x=2,t h e p r i n c i p a l v a l u e o f sin^(-1)x is

If f(0)=1,f(2)=3,f(2)=5,t h e nfin dt h ev a l u eof int_0^1xf"(2x)dx

IfI_n=int_x^pix^nsinx dx ,t h e n fin d t h e v a l u eof I_5+20 I_3dot

IfI_n=int_0^pix^nsinx dx ,t h e n fin d t h e v a l u eof I_5+20 I_3dot

IfI_n=int_0^pix^nsinx dx ,t h e n fin d t h e v a l u eof I_5+20 I_3dot

Iff(x)=x+int_0^1t(x+t)f(t)dt ,t h e nt h ev a l u eof(23)/2f(0) is equal to _________

: If f(x)={x^2+2,xgeq2 1-x ,x 1, 3-x , xlt=0,t h e nt h ev a l u eoflim_(x->1)f(g(x))i s__

E v a l u a t e:int(x^4+x^2+1)/(x^2-x+1)dxdot