Example

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

Question

$$\int^{0}\frac{1-lnd}{3x}dx$$

Answer

$$int^01-x^2*d*ln(d^3)$$

Solution


Use Power Rule: \(\log_{b}{{x}^{c}}=c\log_{b}{x}\).
\[{int}^{01}-xdx\ln{({d}^{3})}\]
Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[{int}^{01}-{x}^{2}d\ln{({d}^{3})}\]
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