What is the integral of acos(t) ?

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

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integral of acos(t)

\int a cos (t) d t

a sin (t) + C

Solution steps

\int a cos (t) d t

Take the constant out:

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

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

Use the common integral:

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

= a sin (t)

Add a constant to the solution

= a sin (t) + C

\frac{d y}{d x} = \frac{5 ( 3 - y ) ^{2}}{( 3 - x ) ^{2}}

\frac{d}{d x} (\frac{7}{10} x^{2} + 4^{3})

\frac{d y}{d x} = \frac{18 ( 2 + y ) ^{2}}{( 1 - 3 x ) ^{2}}

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

x \to 0 lim (3 (x^{\frac{x}{2}}))