Fundamental Theorem of Calculus

Fundamental Theorem of Calculus basically shows the relation between differentiation and integration.

The theorem has two parts:

Part I: First Fundamental Theorem of Calculus (FTC1 )

Part 2: Second Fundamental Theorem of Calculus (FTC2)

FTC1 states that differentiation and integration are an inverse of each other. It also relates antiderivative concept with area problem.

To calculate the derivative of an integral between bounds using FTC1, we just plug in an x value for the t variable and the answer ends up being the same.

The following infographic explains how to solve problems based on First Fundamental Theorem of Calculus.

First Fundamental Theorem of Calculus
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