Example

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

Question

$$4 \int e ^ { x } + 3 \int \frac { 1 } { x } \cdot d x$$

Answer

$$4*IM*n*t^2*e^(2+x)*g*r*a+3*e^2*xM*IM*n*t^2*g*r*a*d^2$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[4\imath n{t}^{2}{e}^{2+x}gra+3\imath ntegrate\times \frac{1}{x}dxdxM\]
Cancel \(x\).
\[4\imath n{t}^{2}{e}^{2+x}gra+3\imath ntegrateddxM\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[4\imath n{t}^{2}{e}^{2+x}gra+3\imath n{t}^{2}{e}^{2}gra{d}^{2}xM\]
Regroup terms.
\[4\imath n{t}^{2}{e}^{2+x}gra+3{e}^{2}xM\imath n{t}^{2}gra{d}^{2}\]
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