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Let x10 + 10x = t
⇒ (10x9 + 10x loge10)dx = dt
⇒
= log t + C
= log(x10 + 10x) + C
Integrate the functions.
sin x sin (cos x)
sin (ax + b) cos (ax + b)
tan2 (2x – 3)
sec2 (7 – 4x)
cot x log sin x
equals