What is the integral of sec^3(x)cos(x) ?

The integral of sec^3(x)cos(x) is tan(x)+C

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integral of sec^3(x)cos(x)

\int sec^{3} (x) cos (x) d x

tan (x) + C

Solution steps

\int sec^{3} (x) cos (x) d x

Rewrite using trig identities

= \int sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= tan (x)

Add a constant to the solution

= tan (x) + C

\frac{\partial}{\partial y} (ln (x - y))

\frac{d}{d x} (x (e^{x} - 1))

\frac{d}{d x} (- ln (x^{4}))

\int 1 + cos (π θ) d θ

\frac{x}{2}

What is the integral of sec^3(x)cos(x) ?
The integral of sec^3(x)cos(x) is tan(x)+C