Question

1) Solvedifferential equation: dy/dx=sqrt(x) +2x

2) Find Int. 0 to.786 xsin^2(x)dx

a).393

b)2.906

c).0831

d)-.607

e)-2.973

3) Evaluate Int. 1to 3 (1/x^2 - 1/x^3) dx

a).23333

b)2/27

c).2

d)2/9

e)none

4) Determine whichof the following is not equal to: Int. 2 to 5 ax f(x) dx

a)x Int 2 to 5axf(x)dx

b)a Int 2 to 5xf(x)dx

c)-Int 5 to 2axf(x)dx

d)Int 2 to 3axf(x)dx + Int. 3 to 5 axf(x)dx

e)none

5)Find F'(x) forF(x)= Int 1 to x sqrt(1+t^2) dt

a)1/sqrt(2) -x/sqrt(1+x^2)

b)1

c)sqrt(1+x^2)

d)-sqrt(1+x^2)

e)none

6) Use TrapezoidalRule with n=4 to approximate Int. 2 to 3 (1/(x-1)^2) dx

a).5004

b)2.5000

c).5090

d)1.7396

e)2.5610