What is the integral of 11x^{10}(x^{11})^{10} ?

The integral of 11x^{10}(x^{11})^{10} is (x^{121})/(11)+C

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integral of 11x^{10}(x^{11})^{10}

\int 11 x^{10} (x^{11})^{10} d x

\frac{x ^{121}}{11} + C

Solution steps

\int 11 x^{10} (x^{11})^{10} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 11 \cdot \int x^{10} (x^{11})^{10} d x

Simplify

x^{10} (x^{11})^{10} : x^{120}

= 11 \cdot \int x^{120} d x

Apply the Power Rule

: \frac{x ^{121}}{121}

= 11 \cdot \frac{x ^{121}}{121}

Simplify

11 \cdot \frac{x ^{121}}{121} : \frac{x ^{121}}{11}

= \frac{x ^{121}}{11}

Add a constant to the solution

= \frac{x ^{121}}{11} + C

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What is the integral of 11x^{10}(x^{11})^{10} ?
The integral of 11x^{10}(x^{11})^{10} is (x^{121})/(11)+C