What is the integral of sqrt(2)e^t ?

The integral of sqrt(2)e^t is sqrt(2)e^t+C

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integral of sqrt(2)e^t

\int 2 e^{t} d t

2 e^{t} + C

Solution steps

\int 2 e^{t} d t

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= 2 \cdot \int e^{t} d t

Use the common integral:

\int e^{t} d t = e^{t}

= 2 e^{t}

Add a constant to the solution

= 2 e^{t} + C

y = (4 x^{2} - 13)^{- 11}

\frac{x}{a}

\int \frac{x - 3}{x ^{3}} d x

\frac{d}{d x} (16 - 5 x^{2})

x \to 2 - lim (sin (\frac{1}{x - 2}))