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Popular >

integral of (4y)

Solution

\int (4 y) d y

Solution

2 y^{2} + C

Solution steps

\int 4 y d y

Take the constant out:

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

= 4 \cdot \int y d y

Apply the Power Rule

: \frac{y ^{2}}{2}

= 4 \cdot \frac{y ^{2}}{2}

Simplify

4 \cdot \frac{y ^{2}}{2} : 2 y^{2}

= 2 y^{2}

Add a constant to the solution

= 2 y^{2} + C

Graph

Popular Examples

integral of 6x^3e^{x^2}

\int 6 x^{3} e^{x^{2}} d x

integral of (6x^2+x+27)/(8x^2-20x-12)

\int \frac{6 x ^{2} + x + 27}{8 x ^{2} - 20 x - 12} d x

integral of (18)/(x^3)

\int \frac{18}{x ^{3}} d x

integral of sqrt(1+r^2)

\int 1 + r^{2} d r

integral of (3x^2+1)/(x(x^2+1))

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

Frequently Asked Questions (FAQ)

What is the integral of (4y) ?
The integral of (4y) is 2y^2+C