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Popular >

integral of (2y)

Solution

\int (2 y) d y

Solution

y^{2} + C

Solution steps

\int 2 y 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 ((5x-7))/((x^2-x-2)(x-3))

\int \frac{( 5 x - 7 )}{( x ^{2} - x - 2 ) ( x - 3 )} d x

y^{^{'}} + x y = - x^{2}

derivative of y=(5x-4)^5(3-x^3)^5 derivative of

y = (5 x - 4)^{5} (3 - x^{3})^{5}

tangent of f(x)=2x^2-6x,\at x=1 tangent of

f (x) = 2 x^{2} - 6 x, at x = 1

tangent of g(x)=sqrt(5x+20),\at x=1 tangent of

g (x) = 5 x + 20, at x = 1

Frequently Asked Questions (FAQ)

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