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Popular >

integral of 5x^{24}

Solution

\int 5 x^{24} d x

Solution

\frac{x ^{25}}{5} + C

Solution steps

\int 5 x^{24} d x

Take the constant out:

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

= 5 \cdot \int x^{24} d x

Apply the Power Rule

: \frac{x ^{25}}{25}

= 5 \cdot \frac{x ^{25}}{25}

Simplify

5 \cdot \frac{x ^{25}}{25} : \frac{x ^{25}}{5}

= \frac{x ^{25}}{5}

Add a constant to the solution

= \frac{x ^{25}}{5} + C

Popular Examples

integral of 6x^{2/5}

\int 6 x^{\frac{2}{5}} d x

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\frac{2}{4 ( s - 3 ) ^{2} + 64}

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\int cos^{4} (5 x + 1) d x

limit as w approaches-k of (w^2+9kw+8k^2)/(w^2+kw)

w \to - k lim (\frac{w ^{2} + 9 k w + 8 k ^{2}}{w ^{2} + k w})

Frequently Asked Questions (FAQ)

What is the integral of 5x^{24} ?
The integral of 5x^{24} is (x^{25})/5+C