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{d}{d x} (\frac{x + 3}{x ^{3} + x - 5})

\int \frac{x}{5 - x} d x

\int \frac{5}{36 + ( x - 1 ) ^{2}} d x

\int \frac{14}{x ( x ^{2} + 4 ) ^{2}} d x

(ln (t^{2} + 1))^{^{'}}