? asked in Science & MathematicsMathematics · 1 decade ago

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

1 Answer

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  • 1 decade ago
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