Derivatives
Anti-derivatives
Limits
Logarithms
Area Between Curves
100
y = x/2 + 2/x
What is 1/2 - 2/x^2
100
S x^2 dx
What is (x^3)/3
100
lim (cosx)/(x+2) x-->0
What is 1/2
100
Rewrite. ln(6x/5)
What is ln 6 + ln x - ln 5
100
Find the area of the region bounded by the line sinx and the x-axis from 0 to pi
What is 2
200
y = (x + 2)^2 - 5x^3
What is -15x^2 + 2x + 4
200
S e^x dx
What is e^x +c
200
lim 100/(x^2+5) x-->infinity
What is 0
200
Find the derivative: y=lnx
What is (1/x)
200
Find the area of the region bounded by the graph sinx and the x-axis from 0 to 2pi
What is 0
300
y = x(x^2 - 3)(x^3 + 1)
What is 6x^5 - 12x^3 + 3x^2 - 3.
300
S13(x)^2 dx
What is (13/3)(x)^3 + c
300
lim (x+7)/(3x+5) x-->infinity
What is 1/3
300
S (1/x) dx
What is ln|x|+c
300
Find the area bounded by the lines X^2 and 3x
What is 4.5
400
2y=x^2+siny
What is 2x/(2-cosy)
400
e^(3x-2)dx
What is (1/3)e^(3x-2) + c
400
lim 2cosx x-->pi
What is -2
400
Differentiate. ln sqrt(x + 1)
What is 1 / 2(x+1)
400
Find the area bounded by 2X+2 and -X^2+4
What is 6.9282
500
y=tanx/(x^2-1)
What is ((x^2-1)(secx)^2 -2xtanx)/ ((x^2-1)^2)
500
x(2x^2+5)^4
What is (1/20)(2x^2+5)^5+c
500
lim (x^2+2x-3)/(x^2-x) x-->1
What is 4
500
S (2x+3)/(x^2+3x)
What is ln(x^2+3x) +c
500
Let R be the region in the first quadrant enclosed by the graphs of y = 2x and y = x^2 Find the area R
What is 4/3
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