# Calculus Solver

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Calculus Solver is the tool used to calculate the problems related to calculus. It generally involves the

problems related to the limits & continuity, differential calculus and integral calculus.  This solver uniquely

identifies the problem whether it is problem of limits & continuity or differential calculus or integral calculus

etc, it first identifies and accordingly provides the solution according to the requirement of problem. It

basically uses suitable formula to evaluate. In its storage area, it stores formulas of all different parts whether

formula of differential calculus or integral calculus or limits etc. Based on these formulas and along with

relevant rules this tool solves the problem after proper evaluation/ analysis of the problem.

From the below mentioned examples, this can be more clarified.

Example 1:- Find the derivative of the x. (Sinx)

Solution 1:-  Given function is x. (Sinx)

To find: - d/dx x. (Sinx)

We know that,d/dx (Sinx) = Cos x

Therefore, d/dx x. (Sinx) = x.d/dx (Sinx) + Sinx d/dx (x)

So d/dx x. (Sinx) = x Cos x + Sinx (1)

Therefore, d/dx x. (Sinx) = x Cos x + Sinx (1)

Hence d/dx x. (Sinx) = x Cos x + Sinx.

This is one example in which Calculus solver solved differential calculus problem by used formulas of

differential calculus.

Example 2:- Find the integration of ∫ x^7 + x^5 + 5 dx

Solution 2:- Given function is x^7 + x^5 + 5.

Here we have to find the integration of x^7 + x^5 + 5.

Now we know that,∫x^n.dx = x^ (n+1) / n+1 + c, Here c is constant of integration

Therefore,∫ x^7 + x^5 + 5 dx = ∫ x^7 dx+ ∫ x^5 dx + ∫ 5 dx

x^ (7+1)/ (7+1) + x^ (5+1)/ (5+1) + 5 x+ c

x^8/8 + x^6/6 + 5x +c

So the integration of ∫ x^7 + x^5 + 5 dx = x^8/8 + x^6/6 + 5x +c

In this example c is constant of integration.

This is one example in which Calculus solver solved integral calculus problem by used formulas of integral

calculus .