What is the integral of-tsin(t) ?

The integral of-tsin(t) is tcos(t)-sin(t)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-tsin(t)

\int - t sin (t) d t

t cos (t) - sin (t) + C

Solution steps

\int - t sin (t) d t

Take the constant out:

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

= - \int t sin (t) d t

Apply Integration By Parts

: - t cos (t) - \int - cos (t) d t

= - (- t cos (t) - \int - cos (t) d t)

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

= - (- t cos (t) - (- sin (t)))

Simplify

= t cos (t) - sin (t)

Add a constant to the solution

= t cos (t) - sin (t) + C

\int \frac{x + 1}{1 + 1 + x} d x

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

\int (16 x^{3} + 6) (2 x^{4} + 3 x)^{19} d x

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

\int e^{\frac{t ^{2}}{2}} d t