What is the integral of 4sin(x) ?

The integral of 4sin(x) is -4cos(x)+C

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integral of 4sin(x)

\int 4 sin (x) d x

- 4 cos (x) + C

Solution steps

\int 4 sin (x) d x

Take the constant out:

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

= 4 \cdot \int sin (x) d x

Use the common integral:

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

= 4 (- cos (x))

Simplify

= - 4 cos (x)

Add a constant to the solution

= - 4 cos (x) + C

x \cdot 1 - x^{2}

h \to 0 lim \frac{( 2 ( 3 + h ) ^{4} - 162 )}{h}

\frac{d}{d x} (3 ln (7 x))

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\frac{d}{d x} (6 x - tan (6 x))