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Popular >

integral of 50x^2

Solution

\int 50 x^{2} d x

Solution

\frac{50 x ^{3}}{3} + C

Solution steps

\int 50 x^{2} d x

Take the constant out:

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

= 50 \cdot \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= 50 \cdot \frac{x ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{50 x ^{3}}{3}

Add a constant to the solution

= \frac{50 x ^{3}}{3} + C

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

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\int \frac{2 + 4 x}{1 + x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 50x^2 ?
The integral of 50x^2 is (50x^3)/3+C