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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Evaluate the integral.
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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Test the series for convergence or divergence.
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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. -
Mathematics