Evaluate
provided not all a, b, c are equal to zero.
My Self Assessment
a) If b = c = 0 then a ≠ 0 and I =
If a = b then
If a ≠ b then I =
Area of the region between the curve and bounded by the lines and is
a)
b)
c)
d)
Let
Then
Match
A.
i. ln
B.
ii. 2ln
C.
iii.
D.
iv.
for more accurate result for c ε (a, b), when Find
Let f(x) be a differential function and then
d) 1
If find at x = π
Evaluate dx
Let A be the area of the region in the first quadrant bounded by the line , the X–axis and the ellipse . Find the positive number m such that A is equal to the area of the region in the first quadrant bounded by the line , the Y–axis and the ellipse .
Let I = and J = then which of the following is true?
a) I > and J < 2
b) I > and J > 2
c) I < and J < 2
d) I < and J > 2
The parabola and divide the square region bounded by the lines and the coordinate axes. If are respectively the area of the parts numbered from top to bottom then is
a) 1 : 1 :1
b) 2 : 1: 2
c) 1 : 2 : 3
d) 1 : 2 : 1
is
a) e
Evaluate I = dx
Evaluate I =
Find the anti derivative of the function f : [0, 2] → ℝ
f(x) = +
For a positive integer n, evaluate
