Example

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

Question

$${}_{4}^{\int6}x^{2}\cdot dx$$

Answer

$$6*4^int*x^3*d$$

Solution


Regroup terms.
\[6{x}^{2}xd\times {4}^{int}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[6{x}^{2+1}d\times {4}^{int}\]
Simplify  \(2+1\)  to  \(3\).
\[6{x}^{3}d\times {4}^{int}\]
Regroup terms.
\[6\times {4}^{int}{x}^{3}d\]
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