Module 2: Now You Try I

Find an antiderivative for each of the following functions:

1. $f (x) = 3 x^{5}$ $f(x)\;=\; 3x^5$

Solution:

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F (x) = \frac{1}{2} x^{6} + c

$F(x)=\frac{1}{2}x^6+c$ , where c can be any number.

2. $g (x) = \sin (2 x)$ $g(x)\;=\; \sin(2x)$

Solution:

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$LaTeX: G(x)=\frac{-1}{2}\cos(2x)+c$

$G(x)=\frac{-1}{2}\cos(2x)+c$ , where c can be any constant.