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Popular >

integral of (-3x+4)

Solution

\int (- 3 x + 4) d x

Solution

- \frac{3 x ^{2}}{2} + 4 x + C

Solution steps

\int - 3 x + 4 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 x d x + \int 4 d x

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

\int 4 d x = 4 x

= - \frac{3 x ^{2}}{2} + 4 x

Add a constant to the solution

= - \frac{3 x ^{2}}{2} + 4 x + C

Graph

Popular Examples

(\partial)/(\partial x)((y+z)(arcsin(x)))

\frac{\partial}{\partial x} ((y + z) (arcsin (x)))

integral of (6x^2-8x)

\int (6 x^{2} - 8 x) d x

y^{''}+4y^'+5=0

y^{^{''}} + 4 y^{^{'}} + 5 = 0

integral of-7x^6

\int - 7 x^{6} d x

derivative of y=(-3-5y)/(-8y+5x)derivative of

y = \frac{- 3 - 5 y}{- 8 y + 5 x}

Frequently Asked Questions (FAQ)

What is the integral of (-3x+4) ?
The integral of (-3x+4) is -(3x^2)/2+4x+C