`f(9/2)=2/9,t h e n t h e v a l u e o flim_(x-gt0)f((1-cos3x)/(x^2))`

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

: 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__

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))

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 int1/(x+x^5)dx=f(x)+c ,t h e ne v a l u a t eint(x^4)/(x+x^5)dxdot

If int1/(x+x^5)dx=f(x)+c ,t h e ne v a l u a t eint(x^4)/(x+x^5)dxdot

If lim_(t rarr x)(e^(t)f(x)-e^(x)f(t))/((t-x)(f(x))^(2))=2 and f(0)=(1)/(2), then find the value of f'(0)*4(b)2(c)0(d)1

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 _________

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

If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint_(-2)^3f(x)dx= 0 (b) 1 (c) 2 (d) 3