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

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

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integral of sin(x+2y)

integral

sin (x + 2 y)

- cos (x + 2 y) + C

Solution steps

\int sin (x + 2 y) d x

Apply u-substitution

: \int sin (u) d u

= \int sin (u) d u

Use the common integral:

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

= - cos (u)

Substitute back

u = x + 2 y

= - cos (x + 2 y)

Add a constant to the solution

= - cos (x + 2 y) + C

(1 + x)^{0.5}

f (t) = e^{t} \cdot t^{\frac{1}{2}}

(x + 4 x - 5 i)^{3}

\frac{e ^{x}}{( e ) ^{2}} x + 1

\frac{1}{( 2 - y ^{2} )}