What is expand sec(t)(tan(t)+sec(t))dt ?

The solution to expand sec(t)(tan(t)+sec(t))dt is sec(t)tan(t)dt+sec^2(t)dt

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expand sec(t)(tan(t)+sec(t))dt

expand

sec (t) (tan (t) + sec (t)) d t

sec (t) tan (t) d t + sec^{2} (t) d t

Solution steps

sec (t) (tan (t) + sec (t)) d t

Apply the distributive law:

a (b + c) = ab + a c

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

= sec (t) d t tan (t) + sec (t) d t sec (t)

= sec (t) tan (t) d t + sec (t) sec (t) d t

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

= sec (t) tan (t) d t + sec^{2} (t) d t

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\frac{2 x - x ^{2}}{( 1 - x ) ^{2}}

\frac{x ( x - 1 )}{( x + 1 ) ( x ^{'} + 3 )}

(x + 2 i) (x - 2 i)^{2}

((x - 2) \cdot x) \cdot (72 + 7 x)

What is expand sec(t)(tan(t)+sec(t))dt ?
The solution to expand sec(t)(tan(t)+sec(t))dt is sec(t)tan(t)dt+sec^2(t)dt