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Popular >

integral of sec(x

Solution

\int sec (d) x d x

Solution

\frac{1}{2} x^{2} sec (d) + C

Solution steps

\int sec (d) x d x

Take the constant out:

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

= sec (d) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

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

Simplify

sec (d) \frac{x ^{2}}{2} : \frac{1}{2} x^{2} sec (d)

= \frac{1}{2} x^{2} sec (d)

Add a constant to the solution

= \frac{1}{2} x^{2} sec (d) + C

Popular Examples

integral of (2/(sqrt(x))+(sqrt(x))/2)

\int (\frac{2}{x} + \frac{x}{2}) d x

integral of ((4+3x^2))/(x^3)

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

limit as x approaches 16 of x

x \to 16 lim (x)

(\partial)/(\partial x)(sin(1/(1+y)))

\frac{\partial}{\partial x} (sin (\frac{1}{1 + y}))

integral from 0 to sqrt(4-x^2 of)x^2y

\int_{0}^{4 - x^{2}} x^{2} y d y

Frequently Asked Questions (FAQ)

What is the integral of sec(x ?
The integral of sec(x is 1/2 x^2sec(d)+C