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Popular Calculus >

integral of 7x^{5/2}

Solution

\int 7 x^{\frac{5}{2}} d x

Solution

2 x^{\frac{7}{2}} + C

Solution steps

\int 7 x^{\frac{5}{2}} 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{5}{2}} d x

Apply the Power Rule

= 7 \cdot \frac{2}{7} x^{\frac{7}{2}}

Simplify

7 \cdot \frac{2}{7} x^{\frac{7}{2}} : 2 x^{\frac{7}{2}}

= 2 x^{\frac{7}{2}}

Add a constant to the solution

= 2 x^{\frac{7}{2}} + C

Graph

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Frequently Asked Questions (FAQ)

What is the integral of 7x^{5/2} ?
The integral of 7x^{5/2} is 2x^{7/2}+C