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Popular >

integral of 12x^{5/7}+7x^{-6/7}

Solution

\int 12 x^{\frac{5}{7}} + 7 x^{- \frac{6}{7}} d x

Solution

7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}} + C

Solution steps

\int 12 x^{\frac{5}{7}} + 7 x^{- \frac{6}{7}} 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 12 x^{\frac{5}{7}} d x + \int 7 x^{- \frac{6}{7}} d x

\int 12 x^{\frac{5}{7}} d x = 7 x^{\frac{12}{7}}

\int 7 x^{- \frac{6}{7}} d x = 49 x^{\frac{1}{7}}

= 7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}}

Add a constant to the solution

= 7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}} + C

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Frequently Asked Questions (FAQ)

What is the integral of 12x^{5/7}+7x^{-6/7} ?
The integral of 12x^{5/7}+7x^{-6/7} is 7x^{12/7}+49x^{1/7}+C