What is expand sec(x)(tan(x)-sec(x))dx ?

The solution to expand sec(x)(tan(x)-sec(x))dx is sec(x)tan(x)dx-sec^2(x)dx

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expand sec(x)(tan(x)-sec(x))dx

expand

sec (x) (tan (x) - sec (x)) d x

sec (x) tan (x) d x - sec^{2} (x) d x

Solution steps

sec (x) (tan (x) - sec (x)) d x

Apply the distributive law:

a (b - c) = ab - a c

a = sec (x) d x, b = tan (x), c = sec (x)

= sec (x) d x tan (x) - sec (x) d x sec (x)

= sec (x) tan (x) d x - sec (x) sec (x) d x

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

= sec (x) tan (x) d x - sec^{2} (x) d x

(- \frac{6}{x ^{4}} - \frac{4}{x ^{5}}) (x^{3} + 7 x^{2} - 8)

\frac{10}{e ^{2 s} ( s + 1 ) ( s + 2 )}

(x + 4 + 3)^{2}

(3 x - 6) \cdot (3 x + 6)

(x + 3 + 5) (x + 3 - 5)

What is expand sec(x)(tan(x)-sec(x))dx ?
The solution to expand sec(x)(tan(x)-sec(x))dx is sec(x)tan(x)dx-sec^2(x)dx