Evaluate the integral using the given substitution. dy , u = y6 + 3y3 + 1

A. 2(y6 + 3y3 + 1)4 + C
B. 6(y6 + 3y3 + 1)4 + C
C. 24(y6 + 3y3 + 1)2 + C
D. 6(y6 + 3y3 + 1)4(10y4 + 6y) + C


Answer: A

Mathematics

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A. tan4 3x - tan2 3x - ln  + C
B. - tan4 3x + tan2 3x - ln  + C
C. tan4 3x - tan2 3x + ln  + C
D. tan4 3x - tan2 3x - ln  + C

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Factor by grouping.12x2 + 20xy - 9xy - 15y2

A. (4x - 3y)(3x + 5y) B. (4x - 3)(3x + 5) C. (12x - 3y)(x + 5y) D. (4x + 3y)(3x + 5y)

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Find the indicated trigonometric function for ?, given that ? is an angle in standard position with the terminal side defined by the given point.(-5, 12); find sec ?

A.  
B. - 
C. - 
D. - 

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