What is the integral of 11/12 x^2+1/12 x ?

The integral of 11/12 x^2+1/12 x is (11x^3)/(36)+(x^2)/(24)+C

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integral of 11/12 x^2+1/12 x

\int \frac{11}{12} x^{2} + \frac{1}{12} x d x

\frac{11 x ^{3}}{36} + \frac{x ^{2}}{24} + C

Solution steps

\int \frac{11}{12} x^{2} + \frac{1}{12} x d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int \frac{11}{12} x^{2} d x + \int \frac{1}{12} x d x

\int \frac{11}{12} x^{2} d x = \frac{11 x ^{3}}{36}

\int \frac{1}{12} x d x = \frac{x ^{2}}{24}

= \frac{11 x ^{3}}{36} + \frac{x ^{2}}{24}

Add a constant to the solution

= \frac{11 x ^{3}}{36} + \frac{x ^{2}}{24} + C

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What is the integral of 11/12 x^2+1/12 x ?
The integral of 11/12 x^2+1/12 x is (11x^3)/(36)+(x^2)/(24)+C