\(If ƒ(x)=∫_0^xt\ sin\ t\ dt,\ then ƒ'(x)is\)
A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability of two successes.
There are 5% defective items in a large bulk of items. What is the probability that a sample of 10 items will include not more than one defective item?
Find the area of the smaller region bounded by the ellipse \(\frac{x^2}{9}\)+\(\frac{y^2}{4}\)=1 and the line
\(\frac{x}{3}\)+\(\frac{y}{2}\)=1
Find the area enclosed by the parabola 4y=3x2 and the line 2y=3x+12
Find the area enclosed between the parabola y2=4ax and the line y=mx
Find the area bounded by the curve y=sin x between x=0 and x=2π
Find the area of the region lying in the first quadrant and bounded by y=4x2,x=0,y =1 and y=4
Find the area between the curves y=x and y=x2
Find the area under the given curves and given lines:
(i)y=x2,x=1,x=2 and x-axis
(ii)y=x4,x=1,x=5 and x-axis
Area lying between the curve y2=4x and y=2x is
Smaller area enclosed by the circle x2+y2=4 and the line x+y=2 is
Using integration find the area of the triangular region whose sides have the equations y =2x+1,y=3x+1 and x=4.
Using integration finds the area of the region bounded by the triangle whose vertices are (–1, 0),(1, 3)and(3, 2).