What is the integral of-7sin(x) ?

The integral of-7sin(x) is 7cos(x)+C

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integral of-7sin(x)

\int - 7 sin (x) d x

7 cos (x) + C

Solution steps

\int - 7 sin (x) d x

Take the constant out:

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

= - 7 \cdot \int sin (x) d x

Use the common integral:

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

= - 7 (- cos (x))

Simplify

= 7 cos (x)

Add a constant to the solution

= 7 cos (x) + C

- \frac{7}{x ^{3}}

y d y = \frac{2}{x} d x

(2 x + 2 x^{- 2} y) d x + (x y - x^{- 1}) d y = 0

\frac{\partial}{\partial y} (6 x - 3 y)

\frac{d}{d x} (sinh (4 x))