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If we have to find the volume of a cylinder then we could imagine as if slices of same size have been mounted one over the other and knowing volume of one piece we could find the entire volume just by multiplying by an integer.
But in case of cone, as we put them into thin slices of thickness dx then volume of each would differ as the radii are different for different slices. Hence we need integral calculus with which we could easily get the right formula 1/3 pi r2 h with base radius r and height h
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Integral calculus examples and its solution?
the example and solution of integral calculus
Which is harder calculus 1 or differential and integral calculus?
Just about all of calculus is based on differential and integral calculus, including Calculus 1! However, Calculus 1 is more likely to cover differential calculus, with integral calculus soon after. So there really isn't a right answer for this question.
Who is called the father of integral calculus?
Gottfried Leibniz is called the father of integral calculus.
When was integral calculus invented?
Integral calculus was invented in the 17th century with the independent discovery of the fundamental theorem of calculus by Newton and Leibniz.
Could Give and explain the two basic classifications of calculus?
People often divide Calculus into integral and differential calculus. In introductory calculus classes, differential calculus usually involves learning about derivatives, rates of change, max and min and optimization problems and many other topics that use differentiation. Integral calculus deals with antiderivatives or integrals. There are definite and indefinite integrals. These are used in calculating areas under or between curves. They are also used for volumes and length of curves and many other things that involve sums or integrals. There are thousands and thousand of applications of both integral and differential calculus.
