1) Evaluate Int 1/xlnx dx a) lnx+C b)lnx^x+C c)ln|lnx|+C d)xlnx+C e)e^lnx+C 2)Ch
ID: 3344262 • Letter: 1
Question
1) Evaluate Int 1/xlnx dx a) lnx+C b)lnx^x+C c)ln|lnx|+C d)xlnx+C e)e^lnx+C 2)Choose integration rule you would use to perform the integration: Int. sec^2x / 1+tanx a) Power b) Secant c) Tangent d) Log e) Arctangent 3) Evaluate: Int 1+cosx/sinx dx a) Ln |1-cosx|+c b)Ln|1+cosx|+c c)sinx+C d)cscx+tanx+C e)cscx+cotx+C 4)lim x->inf. x^2/lnx a)doesn't exist b)-1 c)0 d)1 e)e 5)For -1<equal x <equal 1 F(x)= Int. -1 to x (sqrt(1-t^2) dt a) What does F(1) geometrically represent? b) Evaluate F(1) c) Find F'(x) 1) Evaluate Int 1/xlnx dx a) lnx+C b)lnx^x+C c)ln|lnx|+C d)xlnx+C e)e^lnx+C 2)Choose integration rule you would use to perform the integration: Int. sec^2x / 1+tanx a) Power b) Secant c) Tangent d) Log e) Arctangent 3) Evaluate: Int 1+cosx/sinx dx a) Ln |1-cosx|+c b)Ln|1+cosx|+c c)sinx+C d)cscx+tanx+C e)cscx+cotx+C 4)lim x->inf. x^2/lnx a)doesn't exist b)-1 c)0 d)1 e)e 5)For -1<equal x <equal 1 F(x)= Int. -1 to x (sqrt(1-t^2) dt a) What does F(1) geometrically represent? b) Evaluate F(1) c) Find F'(x)Explanation / Answer
1) c
2) d
3) a
4) a
5)
a) area of a semicircle with radius 1.
b) pi/2
c) sqrt(1-x^2)
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