What is the integral of e^{sin(θ)}cos(θ) ?

The integral of e^{sin(θ)}cos(θ) is e^{sin(θ)}+C

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integral of e^{sin(θ)}cos(θ)

\int e^{s i n (θ)} cos (θ) d θ

e^{s i n (θ)} + C

Solution steps

\int e^{s i n (θ)} cos (θ) d θ

Apply u-substitution

: \int e^{u} d u

= \int e^{u} d u

Use the common integral:

\int e^{u} d u = e^{u}

= e^{u}

Substitute back

u = sin (θ)

= e^{s i n (θ)}

Add a constant to the solution

= e^{s i n (θ)} + C

f (x) = \frac{5 x}{4 x ^{2} + 1}

\int \frac{x + 4}{x ^{2} + 1} d x

f (t) = t \cdot sin (3 t)

\int sinh (x) + C d x

\frac{\partial}{\partial y} (x^{n} sin (\frac{y}{x ^{2}}))

What is the integral of e^{sin(θ)}cos(θ) ?
The integral of e^{sin(θ)}cos(θ) is e^{sin(θ)}+C