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

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

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integral of e^{sin(t)}cos(t)

\int e^{s i n (t)} cos (t) d t

e^{s i n (t)} + C

Solution steps

\int e^{s i n (t)} cos (t) d t

Apply u-substitution

= \int e^{u} d u

Use the common integral:

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

= e^{u}

Substitute back

u = sin (t)

= e^{s i n (t)}

Add a constant to the solution

= e^{s i n (t)} + C

\int 7 x + 3 d x

n = 1 \sum \infty \frac{n ^{2} x ^{4 n}}{5 ^{4 n}}

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

x \to - 0 + lim (\frac{1}{3 x})

\frac{d}{d x} ((3 x^{2} - 13)^{3})

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