Question

$$\int_{\sqrt{x}}^{t}dx$$

Answer

$$e^2*IM*n*t^4*g*r^2*a*d*x^(3/2)*f*o^2*m$$

Solution


Regroup terms.
\[nttttgrradx\sqrt{x}foom\imath ee\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[n{t}^{1+1+1+1}g{r}^{1+1}ad{x}^{1+\frac{1}{2}}f{o}^{1+1}m\imath ee\]
Simplify  \(1+1\)  to  \(2\).
\[n{t}^{2+1+1}g{r}^{1+1}ad{x}^{1+\frac{1}{2}}f{o}^{1+1}m\imath ee\]
Simplify  \(2+1\)  to  \(3\).
\[n{t}^{3+1}g{r}^{1+1}ad{x}^{1+\frac{1}{2}}f{o}^{1+1}m\imath ee\]
Simplify  \(3+1\)  to  \(4\).
\[n{t}^{4}g{r}^{1+1}ad{x}^{1+\frac{1}{2}}f{o}^{1+1}m\imath ee\]
Simplify  \(1+1\)  to  \(2\).
\[n{t}^{4}g{r}^{2}ad{x}^{1+\frac{1}{2}}f{o}^{2}m\imath ee\]
Simplify  \(1+\frac{1}{2}\)  to  \(\frac{3}{2}\).
\[n{t}^{4}g{r}^{2}ad{x}^{\frac{3}{2}}f{o}^{2}m\imath ee\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[n{t}^{4}g{r}^{2}ad{x}^{\frac{3}{2}}f{o}^{2}m\imath {e}^{2}\]
Regroup terms.
\[{e}^{2}\imath n{t}^{4}g{r}^{2}ad{x}^{\frac{3}{2}}f{o}^{2}m\]