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Find the area bounded by x= (y^2) - y and x=y-(y^2), take the elements of the area parallel to y-axis.
If x is an integer where 14 < x < 43, how many possible values are there for x?
find the area
a. y^2=-x; x=-2; x=-4
b. x^2 +y+4=0; y=-8 Take the elements of area parallel to the y-axis.
c. x^2 -y+1=0; x-y+1=0 Take the elements parallel to the x-axis.
d. x=4-y^2; x=4-4y
Find the definite integral from 0 to p/2 of e power x {cos (sin x) cos square pi/2 + sin (sin x) sin square pi/2}dx
Evaluate the line integral [(2x-y+4)dx + (5y+3x-6)dy] around a circle of radius 4 with center at (0,0).
Evaluate the integral between (1,1) and (4,2): [(x+y)dx + (y-x)dy] Along
a) a straight line.
b) straight lines from (1,1) to (1,2) and then to (4,2).
c) the curve x = 2t^2 + t + 1, y = t^2 +1.
find the integral of ∫(((y-5)/(y^2+5y+6)
find the integral of ∫(((2x+7)))/(x^3-3x^2+2x)
Find the integral of ∫(y-5) dy ∕ y^2 + 5y + 6
Find the derivative of
g(x)=∫[8x to 4x] (u+7)/(u-4) dx

B)))
Use part I of the Fundamental Theorem of Calculus to find the derivative of
h(x) = ∫[sin(x) to -3] (cos(t^3)+t)dt

C)))
F(x) = ∫[ 1 to √3] s^3/(3+5s^4) dx
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