Solve int dx/(x^4)^8/7 (x-3)^6/7

Evaluate

\int \frac{1}{( x ^{4} ) ^{8}} d x \div (7 \times \frac{( x - 3 ) ^{6}}{7})

Multiply the exponents

\int \frac{1}{x ^{4 \times 8}} d x \div (7 \times \frac{( x - 3 ) ^{6}}{7})

Multiply the terms

More Steps

\int \frac{1}{x ^{4 \times 8}} d x \div (x - 3)^{6}

Multiply the numbers

\int \frac{1}{x ^{32}} d x \div (x - 3)^{6}

Evaluate the integral

More Steps

\frac{x ^{- 31}}{- 31} \div (x - 3)^{6}

Divide the terms

\frac{\frac{x ^{- 31}}{- 31}}{( x - 3 ) ^{6}}

Rewrite the expression

More Steps

\frac{- \frac{1}{31 x ^{31}}}{( x - 3 ) ^{6}}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

- \frac{\frac{1}{31 x ^{31}}}{( x - 3 ) ^{6}}

Simplify

- \frac{1}{31 ( x - 3 ) ^{6} x ^{31}}

Solution

- \frac{1}{31 ( x - 3 ) ^{6} x ^{31}} + C, C \in R