What is the integral of-sqrt(2)sin(t) ?

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

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integral of-sqrt(2)sin(t)

\int - 2 sin (t) d t

2 cos (t) + C

Solution steps

\int - 2 sin (t) d t

Take the constant out:

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

= - 2 \cdot \int sin (t) d t

Use the common integral:

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

= - 2 (- cos (t))

Simplify

= 2 cos (t)

Add a constant to the solution

= 2 cos (t) + C

n = 2 \sum \infty \frac{7}{2 ^{n}}

\int_{0}^{1} \frac{32}{x ^{2} - 64} d x

\frac{1}{s ^{2} \cdot ( s + 1 )}

f (x) = \frac{7}{2} x^{\frac{2}{7}}

x \to 8 lim (\frac{x ^{2} - 64}{x ^{2} - 8 x})

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