${x}^{2}+x$
+2*x+1
-[0,1]

$\left( {x}^{2}+2\,\sqrt {x} \right) x$
+3*x^(1/2)*(x^(3/2)+1)
-[0,1]

${\frac {1+2\,x}{\sqrt {x}}}$
+1/2*(2*x-1)/x^(3/2)
-[0,1]

${x}^{2}{e^{x}}$
+2*x*exp(x)+x^2*exp(x)
-[0,1]

$x{e^{{x}^{2}}}$
+(1+2x^2)*exp(x^2)
-[0,1]

$\sqrt {{x}^{2}+1}$
+x/sqrt(x^2+1)
-[0,1]

$\sin \left( {x}^{3}+x \right) $
+cos(x^3+x)*(3*x^2+1)
-[0,1]

${e^{\sqrt {x}}}$
+exp(x^(1/2)) /(2sqrt(x))
-[0,1]

$\cos \left( 2\,x-1 \right) $
+-2*sin(2*x-1)
-[0,1]

${x+{\frac 4 x}}$
+1-4/x^2
-[1,2]

${\frac x{(x+1)^2}}$
+(1-x)/(x+1)^3
-[1,2]

${x^2-2\ln x}$
+2x - 2/x
-[1,2]

${2\sqrt x -x}$
+1/sqrt(x)-1
-[1,2]

${\frac x{1+x^2}}$
+(1-x^2)/(1+x^2)^2
-[1,2]

${\frac{1+x^2}{1-x^2}}$
+4x/(1-x^2)^2
-[2,3]

${e^x(x^2-2x+2)}$
+x^2 * e^x
-[1,2]

${(x+1)e^x} $
+(x+2) * e^x
-[1,2]

${x\ln(x+1)} $
+ln(x+1)+x/(x+1)
-[1,2]

${1-\sqrt{3x+1}} $
+-3/2*(3*x+1)^(-1/2)
-[1,2]

${(x^2+x+2)^2}$
+2*(x^2+x+2)*(2*x+1)
-[1,2]

${\sin(2x)} $
+2*cos(2*x)
-[1,2]

${{e^{x^2}}} $
+2*x*e^(x^2)
-[1,2]

${(x^2+1)^3} $
+6*x*(x^2+1)^2
-[1,2]

${(x+1)\ln(x^2+1)}$
+ln(x^2+1)+(x+1)*2*x/(x^2+1)
-[1,2]

${\left(\frac{x-1}{x+1}\right)^2} $
+4*(x-1)/(x+1)^3
-[1,2]

${\frac{e^x}{x+1}} $
+exp(x)*x/(x+1)^2
-[1,2]

${x\ln(x^2-1)} $
+ln(x^2-1) + 2*x^2/(x^2-1)
-[2,3]

${\frac{1}{4}\ln\frac{x^2-1}{x^2+1}} $
+x/ (x^4-1)
-[2,3]

${\sqrt{x+1}-\ln(1+\sqrt{x+1})} $
+1/ [ 2* (1+ (x+1)^(1/2)) ]
-[1,2]

${\ln\frac{x+1}{x-2}} $
+-3/(x^2-x-2)
-[1,2]

$\ln(1+\sin^2x) $
+2*sin(x)*cos(x)/(1+(sin(x))^2)
-[1,2]

$x^2e^{-x} $
+e^(-x)*x*(2-x)
-[1,2]

$e^{\arctg x^2}$
+2 * x * e^( atan(x^2) ) / (1+x^4)
-[1,2]

$\ln \sin x$ 
+cos(x)/sin(x)
-[1,2]

${x\sqrt{1-x^2}}$ 
+(1-2*x^2)/(1-x^2)^(1/2)
-[0,0.5]

$\arctg (x+x^2)$
+(1+2*x)/(x^4+2*x^3+x^2+1)
-[1,2]

$\arctg\frac{x+1}x$
+-1/(2*x^2+2*x+1)
-[1,2]

$x\ln^2 x$ 
+(ln(x))^2+2*ln(x)
-[1,2]

$(3-x)\sqrt x$
+3*(1-x)/(2*sqrt (x))
-[1,2]

$\frac{x^2}{ 1-x}$
+x(2-x)/ (1-x)^2
-[2,3]

$\left(\frac{1+x}{1-x}\right)^4$
+-8 (x+1)^3/(x-1)^5
-[2,3]

$\frac{x-2}{\sqrt{x^2+1}}$
+(2x+1)/((x^2+1)^(3/2))
-[1,2]

$\frac{x^2}{x^2+1}$ 
+2x/(1+x^2)^2
-[1,2]

$\frac {\ln^2x}{x}$
+ln (x)*(2-ln (x))/ x^2
-[1,2]

$\frac{\ln x}{\sqrt x}$
+(2-ln (x)) / (2*x^(3/2))
-[1,2]

$x e^{\frac 1x}$
+e^(1/x)*(x-1)/x
-[1,2]

$(x^2+1)\arctg(x)$
+2* x* atan(x) + 1
-[1,2]

$\ln(\arctg(x^2))$
+2*x/((1+x^4)*atan(x^2))
-[1,2]

$\ln(\sin (2x))$
+2*cos(2*x)/sin(2*x)
-[0.5,1]

$\arctg\sqrt{x^2+1}$
+x/[sqrt(x^2+1)*(2+x^2)]
-[1,2]

$\arcsin(x)+\frac{\sqrt{1-x^2}}{x+1}$
+x/[(1+x)*sqrt(1-x^2)]
-[0.2,0.8]

$\sqrt{\frac{1-x}{3+x^2}}$
+(x^2-2*x-3)/(2*((1-x)/(x^2+3))^(1/2)*(3+x^2)^2)
-[0,0.5]

$\arcsin\sqrt{\frac {x-1}x}$
+1/(2*x*sqrt(x-1))
-[2,3]
