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Popular >

integral of (-3v+4)

Solution

\int (- 3 v + 4) d v

Solution

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

Solution steps

\int - 3 v + 4 d v

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 v d v + \int 4 d v

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

\int 4 d v = 4 v

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

Add a constant to the solution

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

Popular Examples

integral of e^{2x}(2x+1)

\int e^{2 x} (2 x + 1) d x

tangent of y=(-2x)/(x^2+1)tangent of

y = \frac{- 2 x}{x ^{2} + 1}

(dy)/(dx)+6x^5y=x^5

\frac{d y}{d x} + 6 x^{5} y = x^{5}

(\partial)/(\partial z)(10e^xsin(y)z^3)

\frac{\partial}{\partial z} (10 e^{x} sin (y) z^{3})

derivative of (Ax^2+Bx+C(e^{4x}))

\frac{d}{d x} ((A x^{2} + B x + C) (e^{4 x}))

Frequently Asked Questions (FAQ)

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