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Popular >

integral of 30x^{29}

Solution

\int 30 x^{29} d x

Solution

x^{30} + C

Solution steps

\int 30 x^{29} d x

Take the constant out:

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

= 30 \cdot \int x^{29} d x

Apply the Power Rule

: \frac{x ^{30}}{30}

= 30 \cdot \frac{x ^{30}}{30}

Simplify

30 \cdot \frac{x ^{30}}{30} : x^{30}

= x^{30}

Add a constant to the solution

= x^{30} + C

Popular Examples

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25y^{''}-20y^'+4y=0,y(5)=0,y^'(0)=-e^2

25 y^{^{''}} - 20 y^{^{'}} + 4 y = 0, y (5) = 0, y^{^{'}} (0) = - e^{2}

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x = y^{2} + 1, x = y + 3

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\frac{d}{d x} (tan (sin (5 x)))

Frequently Asked Questions (FAQ)

What is the integral of 30x^{29} ?
The integral of 30x^{29} is x^{30}+C