What is the integral of 4/(cos^2(x)) ?

The integral of 4/(cos^2(x)) is 4tan(x)+C

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integral of 4/(cos^2(x))

integral

\frac{4}{cos ^{2} ( x )}

4 tan (x) + C

Solution steps

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

Take the constant out:

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

= 4 \cdot \int \frac{1}{cos ^{2} ( x )} d x

Use the common integral:

\int \frac{1}{cos ^{2} ( x )} d x = tan (x)

= 4 tan (x)

Add a constant to the solution

= 4 tan (x) + C

3 y^{2}

\frac{a ^{2}}{( x ^{2} + a ^{2} )}

x^{2} + ln^{5} (x)

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

2 x (x^{2} + 3)^{\frac{3}{2}}

What is the integral of 4/(cos^2(x)) ?
The integral of 4/(cos^2(x)) is 4tan(x)+C