Determine the integral by making an appropriate substitution.
x dx
[Hint: cos2 x = 1 - sin2 x.]Enter your answer with any coefficients in front as integers or reduced fractions of form 
. No parentheses around arguments of functions.
What will be an ideal response?
sin x - 
sin3 x + C
Mathematics
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Solve the problem.Find the sum of the series 
. [Hint: Write the series as 1 + 4 + 
= 5 + 
+ 3
+ 
.]
A. 8(e - 1) B. 3e + 5 C. 9e - 11 D. 5e
Mathematics
Find the sum.1 + 
+ 
+ 
+ . . .
A. 
B. 
C. 2
D. Does not exist
Mathematics
Solve the formula for the indicated variable.A = P(1 + rt) for r
A. r = - 
B. r = 
C. r = 
D. r = 
Mathematics
Express the given vector as a linear combination of the unit vectors i and j.
A. 3i + 6j B. -i + 2j C. 6i + 3j D. 2i - j
Mathematics