You can find LOTS of problems, often with solution, by a simple Google search, for example, for "calculus problems". Here is the first hit I got:https://www.math.ucdavis.edu/~kouba/ProblemsList.html
Calculus in itself is not hard, it is usually remembering the algebra and previous math classes that is hard. New concepts are introduced in Calculus, but isn't it the same with any new subject? For example, many problems in integration, the actual calculus is not the hard part, it is using all of the algebra and other concepts you have used your whole life to simplify the problem so it is easy to solve.
The purpose of calculus is to solve physics problems.
Analysis is a broader term for Calculus and the theorems behind it. It is studied both with real and complex numbers as real and complex analysis. Usually calculus just deals with the basic problems of differential calculus and integral calculus.
First, you need to learn how to do calculus. This can be accomplished through either taking a calculus class or figuring it out on your own. Next, you apply what you have learned to the problem, eventually arriving at the answer.
There are many applications of calculus, and difficulties of these problems may vary therefore there isn't an actual most difficult question.
In order to solve problems using Calculus, you have to know Calculus.
Here's an example calculus question: Find lim (x^2-4)/(x^2+2x-8) using l'hopital's rule. x->2
Calculus was invented to solve physics problems, so the importance of studying calculus is to solve physics problems.
Calculus in itself is not hard, it is usually remembering the algebra and previous math classes that is hard. New concepts are introduced in Calculus, but isn't it the same with any new subject? For example, many problems in integration, the actual calculus is not the hard part, it is using all of the algebra and other concepts you have used your whole life to simplify the problem so it is easy to solve.
The purpose of calculus is to solve physics problems.
Most complex engineering problems cannot be solved without calculus. Force related problems are a great example - how else would you calculate the force exerted on a particle a specific distance from an electrically charged wire?
the example and solution of integral calculus
Infinitely many.
Daniel D. Anderson has written: 'Student solutions manual for Single variable calculus' -- subject(s): Calculus, Problems, exercises 'Student solutions manual for single variable calculus early transcendentals' -- subject(s): Calculus, Problems, exercises
Analysis is a broader term for Calculus and the theorems behind it. It is studied both with real and complex numbers as real and complex analysis. Usually calculus just deals with the basic problems of differential calculus and integral calculus.
In the 1660s, Isaac Newton developed Calculus to solve certain types of problems. At the same time Leibniz also developed calculus independently of Newton.
Multivariate calculus is an advanced form of calculus that uses multiple variables. There are several applications, of which one example might be its usage in computer science. In computer science, for example, multivariate calculus is used to determine the scaling of graphics.