Let `S` be the area of the region enclosed by `y=e^(-x^2),y=0,x=0,a n dx=1.` Then (a)`Sgeq1/e` (b) `Sgeq1=1/e` (c)`Slt=1/4(1+1/(sqrt(e)))` (d) `Slt=1/(sqrt(2))+1/(sqrt(e))(1-1/(sqrt(2)))`

Let S be the area of the region enclosed by y=e^(-x^(2)),y=0, x=0 and x=1 . Then

Let S be the area of the region enclosed by y=e^-(x^2),y=0,x=0,a n dx=1. Then Sgeq1/e (b) Sgeq1-1/e (c) Slt=1/4(1+1/(sqrt(e))) (d) Slt=1/(sqrt(2))+1/(sqrt(e))(1-1/(sqrt(2)))

Let S be the area of the region enclosed by y= e^(-x^(2)) ,y=0 x =0 and x=1 ,Then -

Let S be the area of the region enclosed by y=e^(-x^(2)),y=0,x=0, and x=1. Then (a) S>=(1)/(e)( b) S>=1=(1)/(e)(c)S<=(1)/(4)(1+(1)/(sqrt(e))) (d) S<=(1)/(sqrt(2))+(1)/(sqrt(e))(1-(1)/(sqrt(2)))

int (dx)/(sqrt(2e^(x)-1))=2 sec^(-1)(sqrt(2)e^((x)/(2)))+c

int e^(x)(x+sqrt(1+x^(2)))(1+(1)/(sqrt(1+x^(2))))dx=

int e^(x)(x+sqrt(1+x^(2)))(1+(1)/(sqrt(1+x^(2))))dx=

Solve [(e^(-2sqrt(x)))/(sqrt(x))-y/(sqrt(x))](dx)/(dy)=1(x!=0)