Math  /  Calculus

QuestionEvaluate the following antiderivatives. a) 8cos(x)+sec2(x)dx=+C\int 8 \cos (x)+\sec ^{2}(x) d x=\square+C b) x5+6xx3dx=+C\int \frac{x^{5}+6 \sqrt{x}}{x^{3}} d x=\square+C

Studdy Solution
Summarize the solutions for both parts:
a) 8cos(x)+sec2(x)dx=8sin(x)+tan(x)+C\int 8 \cos(x) + \sec^2(x) \, dx = 8 \sin(x) + \tan(x) + C
b) x5+6xx3dx=x334x3/2+C\int \frac{x^5 + 6 \sqrt{x}}{x^3} \, dx = \frac{x^3}{3} - 4 x^{-3/2} + C

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