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Popular >

integral of 2e^x-6x

Solution

\int 2 e^{x} - 6 x d x

Solution

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

Solution steps

\int 2 e^{x} - 6 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 2 e^{x} d x - \int 6 x d x

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

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

= 2 e^{x} - 3 x^{2}

Add a constant to the solution

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

Popular Examples

6t(dy)/(dt)+y=0

6 t \frac{d y}{d t} + y = 0

derivative of 1/3 sin^3(x)

\frac{d}{d x} (\frac{1}{3} sin^{3} (x))

tangent of f(x)=x^2-7,(-4,9)tangent of

f (x) = x^{2} - 7, (- 4, 9)

derivative of-sin(x^3*3x^2)

\frac{d}{d x} (- sin (x^{3}) \cdot 3 x^{2})

integral of ycos(xy)

\int y cos (x y) d x

Frequently Asked Questions (FAQ)

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