What is the integral of 7x^6+7x^3+4 ?

The integral of 7x^6+7x^3+4 is x^7+(7x^4)/4+4x+C

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integral of 7x^6+7x^3+4

\int 7 x^{6} + 7 x^{3} + 4 d x

x^{7} + \frac{7 x ^{4}}{4} + 4 x + C

Solution steps

\int 7 x^{6} + 7 x^{3} + 4 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 7 x^{6} d x + \int 7 x^{3} d x + \int 4 d x

\int 7 x^{6} d x = x^{7}

\int 7 x^{3} d x = \frac{7 x ^{4}}{4}

\int 4 d x = 4 x

= x^{7} + \frac{7 x ^{4}}{4} + 4 x

Add a constant to the solution

= x^{7} + \frac{7 x ^{4}}{4} + 4 x + C

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What is the integral of 7x^6+7x^3+4 ?
The integral of 7x^6+7x^3+4 is x^7+(7x^4)/4+4x+C