What is the integral of (17x^7)/(315) ?

The integral of (17x^7)/(315) is (17x^8)/(2520)+C

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integral of (17x^7)/(315)

\int \frac{17 x ^{7}}{315} d x

\frac{17 x ^{8}}{2520} + C

Solution steps

\int \frac{17 x ^{7}}{315} d x

Take the constant out:

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

= \frac{17}{315} \cdot \int x^{7} d x

Apply the Power Rule

: \frac{x ^{8}}{8}

= \frac{17}{315} \cdot \frac{x ^{8}}{8}

Simplify

\frac{17}{315} \cdot \frac{x ^{8}}{8} : \frac{17 x ^{8}}{2520}

= \frac{17 x ^{8}}{2520}

Add a constant to the solution

= \frac{17 x ^{8}}{2520} + C

\int \frac{cos ( x )}{3} d x

\frac{d}{d x} ((x^{2} - x + 1)^{3})

(cos (5 x)) y^{^{'}} + 5 (tan (5 x)) y = - 9 sec (5 x)

y = (1 + x^{2}) (3 - 2 x)

\frac{d}{d x} (5 x^{3} - 6 x)

What is the integral of (17x^7)/(315) ?
The integral of (17x^7)/(315) is (17x^8)/(2520)+C