What is the integral of (cos(t))/t ?

The integral of (cos(t))/t is \Ci(t)+C

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integral of (cos(t))/t

\int \frac{cos ( t )}{t} d t

Ci (t) + C

Solution steps

\int \frac{cos ( t )}{t} d t

Use the nonelementary integral:

\int \frac{cos ( x )}{x} d x = Ci (x)

= Ci (t)

Add a constant to the solution

= Ci (t) + C

\frac{d y}{d x} = x (y - 1)^{2}

y = (x^{3} - 16 x)^{10}, (4, 0)

x \to 0 lim (e^{x} - \frac{1}{x})

\int_{0}^{5} e^{- 2 x} d x

f (x) = \frac{2}{x - 3}