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Popular >

integral of+50x

Solution

\int + 50 x d x

Solution

25 x^{2} + C

Solution steps

\int 50 x d x

Take the constant out:

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

= 50 \cdot \int x d x

Apply the Power Rule

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

= 50 \cdot \frac{x ^{2}}{2}

Simplify

50 \cdot \frac{x ^{2}}{2} : 25 x^{2}

= 25 x^{2}

Add a constant to the solution

= 25 x^{2} + C

Popular Examples

integral of 7/(x^2sqrt(9a^2-x^2))

\int \frac{7}{x ^{2} 9 a ^{2} - x ^{2}} d x

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\int \frac{2 x - 3 x ^{2} + 4 x ^{3}}{x ^{4}} d x

integral of (x^2+1)e^{x^3+3x+1}

\int (x^{2} + 1) e^{x^{3} + 3 x + 1} d x

integral of (x+x^2)cos(nx)

\int (x + x^{2}) cos (n x) d x

integral of e^{(32x)/3}

\int e^{\frac{32 x}{3}} d x

Frequently Asked Questions (FAQ)

What is the integral of+50x ?
The integral of+50x is 25x^2+C