What is the integral of 100+210x^{3/4} ?

The integral of 100+210x^{3/4} is 100x+120x^{7/4}+C

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integral of 100+210x^{3/4}

\int 100 + 210 x^{\frac{3}{4}} d x

100 x + 120 x^{\frac{7}{4}} + C

Solution steps

\int 100 + 210 x^{\frac{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 100 d x + \int 210 x^{\frac{3}{4}} d x

\int 100 d x = 100 x

\int 210 x^{\frac{3}{4}} d x = 120 x^{\frac{7}{4}}

= 100 x + 120 x^{\frac{7}{4}}

Add a constant to the solution

= 100 x + 120 x^{\frac{7}{4}} + C

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What is the integral of 100+210x^{3/4} ?
The integral of 100+210x^{3/4} is 100x+120x^{7/4}+C