What is the integral of (sin(x))/(sec(x)) ?

The integral of (sin(x))/(sec(x)) is (sin^2(x))/2+C

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integral of (sin(x))/(sec(x))

\int \frac{sin ( x )}{sec ( x )} d x

\frac{sin ^{2} ( x )}{2} + C

Solution steps

\int \frac{sin ( x )}{sec ( x )} d x

Apply u-substitution

: \int u d u

= \int u d u

Apply the Power Rule

: \frac{u ^{2}}{2}

= \frac{u ^{2}}{2}

Substitute back

u = sin (x)

= \frac{sin ^{2} ( x )}{2}

Add a constant to the solution

= \frac{sin ^{2} ( x )}{2} + C

\int_{0}^{2} \frac{1}{( x - 2 ) ^{2}} d x

\int - \frac{y}{( x + 2 ) ^{2}} d x

f (x) = x^{3} + 3 x, at x = 2

\frac{\partial}{\partial x} (x \cdot cos (y))

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