What is the integral of (x^my^nz^a)/(x^1y^nz^a) ?

The integral of (x^my^nz^a)/(x^1y^nz^a) is (x^m)/m+C

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integral of (x^my^nz^a)/(x^1y^nz^a)

\int \frac{x ^{m} y ^{n} z ^{a}}{x ^{1} y ^{n} z ^{a}} d x

\frac{x ^{m}}{m} + C

Solution steps

\int \frac{x ^{m} y ^{n} z ^{a}}{x ^{1} y ^{n} z ^{a}} d x

Simplify

\frac{y ^{n} z ^{a} x ^{m}}{y ^{n} z ^{a} x ^{1}} : x^{m - 1}

= \int x^{m - 1} d x

Apply the Power Rule

: \frac{x ^{m}}{m}

= \frac{x ^{m}}{m}

Add a constant to the solution

= \frac{x ^{m}}{m} + C

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What is the integral of (x^my^nz^a)/(x^1y^nz^a) ?
The integral of (x^my^nz^a)/(x^1y^nz^a) is (x^m)/m+C