What is the integral of acos(x) ?

The integral of acos(x) is asin(x)+C

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integral of acos(x)

\int a cos (x) d x

a sin (x) + C

Solution steps

\int a cos (x) d x

Take the constant out:

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

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

Use the common integral:

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

= a sin (x)

Add a constant to the solution

= a sin (x) + C

\int_{1}^{4} \frac{1}{4 - x} d x

\int 4 x (x^{2} + 28000)^{- \frac{2}{3}} d x

f (x) = 5 x^{2} - 4 x - 2, at x = (1 - 1)

\int_{- 3}^{0} \frac{x}{9 - x ^{2}} d x

y = x, y = \frac{1}{3} x, x = 25