Solve for x
x = \frac{29}{12} = 2\frac{5}{12} \approx 2.416666667
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-\sqrt{3x-1}+5-5=\frac{5}{2}-5
Subtract 5 from both sides of the equation.
-\sqrt{3x-1}=\frac{5}{2}-5
Subtracting 5 from itself leaves 0.
-\sqrt{3x-1}=-\frac{5}{2}
Subtract 5 from \frac{5}{2}.
\frac{-\sqrt{3x-1}}{-1}=-\frac{\frac{5}{2}}{-1}
Divide both sides by -1.
\sqrt{3x-1}=-\frac{\frac{5}{2}}{-1}
Dividing by -1 undoes the multiplication by -1.
\sqrt{3x-1}=\frac{5}{2}
Divide -\frac{5}{2} by -1.
3x-1=\frac{25}{4}
Square both sides of the equation.
3x-1-\left(-1\right)=\frac{25}{4}-\left(-1\right)
Add 1 to both sides of the equation.
3x=\frac{25}{4}-\left(-1\right)
Subtracting -1 from itself leaves 0.
3x=\frac{29}{4}
Subtract -1 from \frac{25}{4}.
\frac{3x}{3}=\frac{\frac{29}{4}}{3}
Divide both sides by 3.
x=\frac{\frac{29}{4}}{3}
Dividing by 3 undoes the multiplication by 3.
x=\frac{29}{12}
Divide \frac{29}{4} by 3.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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