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))

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

\int 4 x^{3} (2 x^{4} - e) d x

\int \frac{( x ^{m} - x ^{n} ) ^{2}}{x} d x

\int_{0}^{3} 2 π (x + 7) (2 x) d x

y^{^{''}} + y = cos (x)

f (x) = x^{3} - 27 x

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