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Calculus calculator - Online Calculator - Tutorpace

# Calculus calculator

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Calculus is a branch of Mathematics which contains formulas and methods to find lengths, areas, volumes etc. of 2-D and 3-D shapes by using techniques of Differentiation and Integration. Calculus consists of two sub-branches which are Differential Calculus and Integral Calculus. Calculus calculator is a great online tool which can quickly find the solutions to the calculus questions.

Example 1: Find the derivative of the function, f(x) = x3 + x2

To find the derivative, the Power rule of the Derivatives says that:

d(xn)/dx = n * xn-1

We can distribute the derivative to both the terms:

d(x3 + x2)/dx  [ d(x3)/dx ] + [ d(x2)/dx ]

Using the above formula, we get

(3 * x3-1) + (2 * x2-1)

(3 * x2) + (2 * x1)

3x2 + 2x

Example 2: Find the integral of the function, f(x) = 3x2 + 2x

The Power Rule of Integration says that ∫ (x) n dx = x (n+1)/ (n+1) + c

where ‘c’ is a constant

We can distribute the integral sign to both terms:

∫(3x2 + 2x) = ∫3x2 dx + ∫2x dx

Using the above formula, we get

3 * x2+1/ (2+1) + 2 * x1+1/ (1+1) + c

3 * x3/ 3 + 2 * x2/ 2 + c

x3 + x2 + c