The idea of finding the area under a curve is an important fundamental concept in calculus. Consider a function y = f(x). Now the area under the curve is to be calculated. The area under a curve problem is stated as 'Let f(x) be non negative on [a, b]. Find the area of the region lying beneath the curve y = f(x) and above the xaxes, from x = a to x = b. Note that finding the area under a curve will imply that you are dealing with a non negative function. The way to approach is to divide the entire interval between a and b into sub intervals there by construction small rectangles side by side. Now the area under the curve can be approximated as the sum of the areas of the individual rectangles. The smaller the width of the rectangles the more precise your final answer will be. This video shows how to approximate the area under a curve using rectangles.
 Hot
 Latest

How To: Remember "greater than" & "less than" symbols

How To: Find the Percent Given Two Numbers

How To: Do long division without a calculator

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find the Volume of Composite Figures (Also Called Composite Shapes)

How To: Calculate Faster Than a Calculator

How To: Find the area of a parallelogram using geometry

How To: Determine the age of a fossil using carbon14

How To: Draw an isosceles trapezoid

How To: Write equivalent fractions

How To: Find a number given Its percent

How To: Convert Fahrenheit to Celsius with a formula

How To: Solve problems involving functions in algebra

How To: Calculate percent composition for chemistry

How To: Calculate the area of a parallelogram

How To: Subtract a mixed number from a proper fraction in basic math

How To: Find the formula of a piecewise function given a graph

How To: Solve percentages without a calculator

How To: Find the area & perimeter of triangles & squares

How To: Find the area of a triangle when given 2 sides & angle

How To: Remember "greater than" & "less than" symbols

How To: Find the Percent Given Two Numbers

How To: Do long division without a calculator

How To: Use ">" (greater than) and "<" (less than) symbols

How To: Find the Volume of Composite Figures (Also Called Composite Shapes)

How To: Calculate Faster Than a Calculator

How To: Find the area of a parallelogram using geometry

How To: Determine the age of a fossil using carbon14

How To: Draw an isosceles trapezoid

How To: Write equivalent fractions

How To: Find a number given Its percent

How To: Convert Fahrenheit to Celsius with a formula

How To: Solve problems involving functions in algebra

How To: Calculate percent composition for chemistry

How To: Calculate the area of a parallelogram

How To: Subtract a mixed number from a proper fraction in basic math

How To: Find the formula of a piecewise function given a graph

How To: Solve percentages without a calculator

How To: Find the area & perimeter of triangles & squares

How To: Find the area of a triangle when given 2 sides & angle
Be the First to Comment
Share Your Thoughts