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Find the antiderivative of the following:

1. ((3x^2+14x+13)/(x+4) dx
2. ((2x+5)/(3x-1) dx
3. ((x^5-2x^3-2x)/(x^2+1) dx
4. ((x^3+4x)/(x^2-1) dx
Find the antiderivative of (1+e^x)/(1-e^x) dx
Find the anti derivative of sqrt of (x^4-2x^3+x^2)
How many points lie on plane curves 2 2
+ 1
9 4
x y = and 2 2 ( 1) 1
16 9
x y + − = ?
(a) 1 (b) 2 (c) 3 (d) 4 (e) 0
Given two points A (1,2,3), B (7,6,5), let S be the set of all points in (x, y)–plane
such that X
PA is orthogonal to X
PB, then
(a) S is empty
(b) S contains exactly one point
(c) S contains exactly two points
(d) S is a line segment
(e) S is a circle
Add using trigonometry (cosine and sine law) 7 m/s on a bearing of 030° and 2 m/s from a bearing of 343°.
A positive real number x lies between positive integers k and k+1 satisfying x.3^x = 3^18, then k =
How many points lie on plane curves x^2/9 + y^2/4=1 and
(x+1)^2/16 - y^2/9= 1
Given two pointsA(1,2,3), B(7,6,5), let S be the set of all points in (x, y)–plane such that PA is orthogonal to PB, then
(a) S is empty
(b) S contains exactly one point
(c) S contains exactly two points
(d) S is a line segment
(e) S is a circle
(a) Here is the information about the circuit.
Capacitor = 100 nF
Resistor = 47 kΩ
Supply voltage = 5 V
Investigate the meaning of ‘time constant’ and from your graph estimate a value. Compare this with your calculated one.