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Popular >

integral of 3-e^{2x}

Solution

\int 3 - e^{2 x} d x

Solution

3 x - \frac{1}{2} e^{2 x} + C

Solution steps

\int 3 - e^{2 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 e^{2 x} d x

\int 3 d x = 3 x

\int e^{2 x} d x = \frac{1}{2} e^{2 x}

= 3 x - \frac{1}{2} e^{2 x}

Add a constant to the solution

= 3 x - \frac{1}{2} e^{2 x} + C

Popular Examples

derivative of 2ln(2x^3)

\frac{d}{d x} (2 ln (2 x^{3}))

tangent of x^2=e^{(x-y)}tangent of

x^{2} = e^{(x - y)}

f (t) = \frac{1}{t}

d/(dt)(6sqrt(t))

\frac{d}{d t} (6 t)

derivative of v^{3/2}(v+ce^v)derivative of

v^{\frac{3}{2}} (v + c e^{v})

Frequently Asked Questions (FAQ)

What is the integral of 3-e^{2x} ?
The integral of 3-e^{2x} is 3x-1/2 e^{2x}+C