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Popular >

integral of y-3

Solution

\int y - 3 d y

Solution

\frac{y ^{2}}{2} - 3 y + C

Solution steps

\int y - 3 d y

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int y d y - \int 3 d y

\int y d y = \frac{y ^{2}}{2}

\int 3 d y = 3 y

= \frac{y ^{2}}{2} - 3 y

Add a constant to the solution

= \frac{y ^{2}}{2} - 3 y + C

Popular Examples

integral of (x^3)/(sqrt(81-x^2))

\int \frac{x ^{3}}{81 - x ^{2}} d x

integral of x^2\sqrt[5]{x^3+1}

integral of sin^5(x)*cos^8(x)

\int sin^{5} (x) \cdot cos^{8} (x) d x

integral of (5x^{3/2}-3)

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

integral of e^{10x}5x

\int e^{10 x} 5 x d x

Frequently Asked Questions (FAQ)

What is the integral of y-3 ?
The integral of y-3 is (y^2)/2-3y+C