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Popular >

integral of (3y+7)

Solution

\int (3 y + 7) d y

Solution

\frac{3 y ^{2}}{2} + 7 y + C

Solution steps

\int 3 y + 7 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 3 y d y + \int 7 d y

\int 3 y d y = \frac{3 y ^{2}}{2}

\int 7 d y = 7 y

= \frac{3 y ^{2}}{2} + 7 y

Add a constant to the solution

= \frac{3 y ^{2}}{2} + 7 y + C

Popular Examples

inverse oflaplace 5/(s+2)inverse laplace

\frac{5}{s + 2}

derivative of x^{2x}derivative of

x^{2 x}

x^2(dy)/(dx)-2xy=4y^4,y(1)= 1/3

x^{2} \frac{d y}{d x} - 2 x y = 4 y^{4}, y (1) = \frac{1}{3}

x y^{^{'}} + y^{2} + y = 0

derivative of f(x)=3x^2+2x derivative of

f (x) = 3 x^{2} + 2 x

Frequently Asked Questions (FAQ)

What is the integral of (3y+7) ?
The integral of (3y+7) is (3y^2)/2+7y+C