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

The integral of 3/7 x^{7/4}+C is 12/77 x^{11/4}+Cx+C

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integral of 3/7 x^{7/4}+C

\int \frac{3}{7} x^{\frac{7}{4}} + C d x

\frac{12}{77} x^{\frac{11}{4}} + C x + C

Solution steps

\int \frac{3}{7} x^{\frac{7}{4}} + C 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{3}{7} x^{\frac{7}{4}} d x + \int C d x

\int \frac{3}{7} x^{\frac{7}{4}} d x = \frac{12}{77} x^{\frac{11}{4}}

\int C d x = C x

= \frac{12}{77} x^{\frac{11}{4}} + C x

Add a constant to the solution

= \frac{12}{77} x^{\frac{11}{4}} + C x + C

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What is the integral of 3/7 x^{7/4}+C ?
The integral of 3/7 x^{7/4}+C is 12/77 x^{11/4}+Cx+C