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

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

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

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

tan (x) + C

Solution steps

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

f (x) = \frac{x ^{3} + 3 x + 2}{x ^{2} - 1}

\int_{0}^{2} \int_{0}^{2 - x^{2}} 18 x y d y d x

x \to - 2 lim (\frac{x + 2}{2 x + x ^{2} + 12})

x \to 3 lim (\frac{( 2 x ^{3} - 5 x ^{2} - 2 x - 3 )}{4 x ^{3} - 13 x ^{2} + 4 x - 3})

x \to 0 lim (x \cdot cos (x))

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