5 Questions
What is the fundamental theorem of calculus and who independently developed it in the late 17th century?
Isaac Newton and Gollfried Leibnitz independently developed the fundamental theorem of calculus in the late 17th century.
What is the formula for the definite integral of a continuous real valued function f(x) over a closed interval [a, b]?
b \int f(x)dx = F(b) - F(a) a
What does the definite integral of a function f(x) over the range x = a to x = b represent geometrically?
The integral of the function f(x) over the range x = a to x = b gives the area under the curve between the ordinates x = a and x = b.
What are the basic tools of calculus that have numerous applications in Science and Engineering?
Integrals and derivatives become the basic tools of calculus with numerous applications in Science and Engineering.
What is a multiple integral and how does it generalize the definite integral?
The multiple integral is a generalisation of definite integral to functions of more than one real variable. For example $f(x,y)$.
Test your knowledge of integral calculus with this quiz on the fundamental theorem of calculus, matrices, and multiple integrals. Explore the principles formulated by Isaac Newton and Gottfried Leibnitz in the 17th century, and understand the connection between integration and differentiation.
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