What is the integral of e^{cos(23t)}sin(23t) ?

The integral of e^{cos(23t)}sin(23t) is -1/23 e^{cos(23t)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^{cos(23t)}sin(23t)

\int e^{c o s (23 t)} sin (23 t) d t

- \frac{1}{23} e^{c o s (23 t)} + C

Solution steps

\int e^{c o s (23 t)} sin (23 t) d t

Apply u-substitution

: \int e^{c o s (u)} sin (u) \frac{1}{23} d u

= \int e^{c o s (u)} sin (u) \frac{1}{23} d u

Take the constant out:

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

= \frac{1}{23} \cdot \int e^{c o s (u)} sin (u) d u

Apply u-substitution

: \int - e^{v} d v

= \frac{1}{23} \cdot \int - e^{v} d v

Take the constant out:

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

= \frac{1}{23} (- \int e^{v} d v)

Use the common integral:

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

= \frac{1}{23} (- e^{v})

Substitute back

= \frac{1}{23} (- e^{c o s (23 t)})

Simplify

= - \frac{1}{23} e^{c o s (23 t)}

Add a constant to the solution

= - \frac{1}{23} e^{c o s (23 t)} + C

\int 2 y^{2} cos (x) + z^{3} d x

\int \frac{1}{u ^{2} - 10 u + 25} d u

\int cos (x) \cdot x^{2} d x

\int e^{7 t + 1} d t

\int \frac{2 x ^{4}}{( x - 1 ) ^{3}} d x

What is the integral of e^{cos(23t)}sin(23t) ?
The integral of e^{cos(23t)}sin(23t) is -1/23 e^{cos(23t)}+C