What is the integral of sqrt(2)sin(x) ?

The integral of sqrt(2)sin(x) is -sqrt(2)cos(x)+C

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integral of sqrt(2)sin(x)

\int 2 sin (x) d x

- 2 cos (x) + C

Solution steps

\int 2 sin (x) d x

Take the constant out:

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

= 2 \cdot \int sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= 2 (- cos (x))

Simplify

= - 2 cos (x)

Add a constant to the solution

= - 2 cos (x) + C

\int cos^{3} (x) cos (3 x) d x

n \to \infty lim (\frac{1}{n ^{2} + 2 n - n})

\frac{sec ( x )}{7 + sec ( x )}

y^{^{''}} - 36 y^{^{'}} = 0

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

What is the integral of sqrt(2)sin(x) ?
The integral of sqrt(2)sin(x) is -sqrt(2)cos(x)+C