What is the integral of 1.5sin(-x+2) ?

The integral of 1.5sin(-x+2) is 1.5cos(-x+2)+C

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integral of 1.5sin(-x+2)

\int 1.5 sin (- x + 2) d x

1.5 cos (- x + 2) + C

Solution steps

\int 1.5 sin (- x + 2) d x

Take the constant out:

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

= 1.5 \cdot \int sin (- x + 2) d x

Apply u-substitution

: \int - sin (u) d u

= 1.5 \cdot \int - sin (u) d u

Take the constant out:

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

= 1.5 (- \int sin (u) d u)

Use the common integral:

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

= 1.5 (- (- cos (u)))

Substitute back

u = - x + 2

= 1.5 (- (- cos (- x + 2)))

Simplify

= 1.5 cos (- x + 2)

Add a constant to the solution

= 1.5 cos (- x + 2) + C

y = cos (x) - x sin (x)

f (x) = x^{\frac{1}{6}}

\frac{d}{d x} (sin^{8} (5 x^{2} + 8))

\int \frac{e ^{13 x}}{( e ^{13 x} + 5 ) ^{4}} d x

\frac{d y}{d x} - 0.11 y = 200

What is the integral of 1.5sin(-x+2) ?
The integral of 1.5sin(-x+2) is 1.5cos(-x+2)+C