Calculus – Anti-derivative of Trigonometry Functions

HISTORY

Derivation is very important in mathematics, especially in calculus.
Appeared by the end of the 16th century, this concept was developed during the 17th century, by a great German philosopher and scientist named Gottfried Wilhelm Leibniz (1646-1716) and also by a great English scientist and inventor named Sir Isaac Newton(1642-1727).

Leibniz N0tation:

Note the German scientist Gottfried Wilhem Leibniz (1646-1716)introduce the following notation: df/dx .
Note the French mathematician Joseph Louis Lagrange (1736-1813) introduce the “prime” notation f (x).


TRIGONOMETRY ANTIDERIVATIVES:

List of some mathematic formulas here: Derivative, Integral, and more…

EXAMPLE 1:

Find the anti-derivative of f(x) = ∫[tan3(x)]dx

Solution:

EXAMPLE 2:

Let us find the anti-derivative of f(x) = cot3(x)Solution:

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