There is a line through the origin that divides the region bounded by parabola y=x-x^2 into two regions of equal area. What is the slope of the line that divides these two regions (using definite integrals)?
Riemann Sum
Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.
Riemann Integral
Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.
There is a line through the origin that divides the region bounded by parabola y=x-x^2 into two regions of equal area. What is the slope of the line that divides these two regions (using definite
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