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.

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