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Math Help Needed Please?
Please help on these math problems. If you can, please show what you did so I can follow along and understand. Thank you for your help.
#1. Find the value for b for which the value of the integral of y = x^2 + bx between x = 0 and x = 2 is exactly equal to 10.
a. 11/3
b. 2/9
c. 58/3
d. -34/3
e. -17/12
f. none of these
#2. Find the antiderivative of x(1 + x^2)^6 .
a. (1/14)x(1 + x^2)^7 + C
b. (1 + x^2)^6(1 + 13x^2) + C
c. (1/14)x^2(1 + x^2)^7 + C
d. (1/14)(1 + x^2)^7 + C
e. none of these
#3. Find the antiderivative of (cos 2x)e^(sin 2x) .
a. (1/2)e^(sin 2x) + C
b. (1/2)e^(cos 2x) + C
c. (1/2)e^(-sin 2x) + C
d. (1/2)e^(-cos 2x) + C
e. (-1/2)e^(sin 2x) + C
f. (-1/2)e^(-cos 2x) + C
g. (-1/2)e^(-sin 2x) + C
h. (-1/2)e^(cos 2x) + C
i. none of these
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