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Popular >

integral of (2y)/1

Solution

\int \frac{2 y}{1} d y

Solution

y^{2} + C

Solution steps

\int \frac{2 y}{1} d y

Take the constant out:

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

= 2 \cdot \int y d y

Apply the Power Rule

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

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

Simplify

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

= y^{2}

Add a constant to the solution

= y^{2} + C

Graph

Popular Examples

integral of (sqrt(1+tan(x)))/(cos^2(x))

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

integral of 4^{2x-3}

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

integral of (sin(2x))/(sqrt(4-sin^2(x)))

\int \frac{sin ( 2 x )}{4 - sin ^{2} ( x )} d x

integral of (22x)/(1+x^2)

\int \frac{22 x}{1 + x ^{2}} d x

integral of (2sqrt(x+1))/x

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

Frequently Asked Questions (FAQ)

What is the integral of (2y)/1 ?
The integral of (2y)/1 is y^2+C