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Popular Calculus >

integral of 7x^{3/4}

Solution

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

Solution

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

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply the Power Rule

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

Simplify

7 \cdot \frac{4}{7} x^{\frac{7}{4}} : 4 x^{\frac{7}{4}}

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

Add a constant to the solution

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

Graph

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Frequently Asked Questions (FAQ)

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