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Popular >

integral of-6x+5

Solution

\int - 6 x + 5 d x

Solution

- 3 x^{2} + 5 x + C

Solution steps

\int - 6 x + 5 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 6 x d x + \int 5 d x

\int 6 x d x = 3 x^{2}

\int 5 d x = 5 x

= - 3 x^{2} + 5 x

Add a constant to the solution

= - 3 x^{2} + 5 x + C

Popular Examples

integral of e^{-ax}x^2

\int e^{- a x} x^{2} d x

tangent of f(x)=3-e^{-3x},\at x=-ln(2)tangent of

f (x) = 3 - e^{- 3 x}, at x = - ln (2)

(\partial)/(\partial x)(20+5sin(x)cos(x-y))

\frac{\partial}{\partial x} (20 + 5 sin (x) cos (x - y))

integral of (e^{2sqrt(x)})/(sqrt(x))

\int \frac{e ^{2 x}}{x} d x

integral of (4sqrt(x)+\sqrt[4]{x})

Frequently Asked Questions (FAQ)

What is the integral of-6x+5 ?
The integral of-6x+5 is -3x^2+5x+C