What is the integral of arcos(x) ?

The integral of arcos(x) is arsin(x)+C

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integral of arcos(x)

\int a r cos (x) d x

a r sin (x) + C

Solution steps

\int a r cos (x) d x

Take the constant out:

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

= a r \cdot \int cos (x) d x

Use the common integral:

\int cos (x) d x = sin (x)

= a r sin (x)

Add a constant to the solution

= a r sin (x) + C

y = x \frac{a ^{2} - x ^{2}}{x}

x = y^{2} - 12, x = 4 y

\int cos (y) e^{5 s i n (y)} d y

n = 0 \sum \infty \frac{1 ^{n}}{n !}

\int (5 + x^{3}) (4 - x^{2}) d x