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Popular >

integral of 3-3x

Solution

\int 3 - 3 x d x

Solution

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

Solution steps

\int 3 - 3 x d x

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 d x - \int 3 x d x

\int 3 d x = 3 x

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

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

Add a constant to the solution

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

Popular Examples

integral of xcos(2x)

\int x cos (2 x) d x

derivative of y=e^{x^6}derivative of

y = e^{x^{6}}

(dy)/(dx)+1/3 y=e^xy^4

\frac{d y}{d x} + \frac{1}{3} y = e^{x} y^{4}

(\partial)/(\partial y)(ln(y^2))

\frac{\partial}{\partial y} (ln (y^{2}))

derivative of f(x)=-1/(sqrt(x))derivative of

f (x) = - \frac{1}{x}

Frequently Asked Questions (FAQ)

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