Example

3(r+2s)=2t-4
a⋅(b-2)=3b
3(r+2s)=2t-4
a⋅(b-2)=3b

Question

$$\int _ { 1 } ^ { 2 } 5 i x + 5 a b ; \sqrt { 18 } - \frac { 2 } { \sqrt { 2 } }$$

Answer

-sqrt(2)+3*Si*sqrt(2)*IM*m*p*l*f*y*s*u*r*b

Solution


Simplify  \(\sqrt{18}\)  to  \(3\sqrt{2}\).
\[Simpl\imath fysurb\times 3\sqrt{2}-\frac{2}{\sqrt{2}}\]
Regroup terms.
\[3Si\sqrt{2}\imath mplfysurb-\frac{2}{\sqrt{2}}\]
Rationalize the denominator: \(\frac{2}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}}=\frac{2\sqrt{2}}{2}\).
\[3Si\sqrt{2}\imath mplfysurb-\frac{2\sqrt{2}}{2}\]
Cancel \(2\).
\[3Si\sqrt{2}\imath mplfysurb-\sqrt{2}\]
Regroup terms.
\[-\sqrt{2}+3Si\sqrt{2}\imath mplfysurb\]
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