(1/. a)arctan(u/. a)+c =
To simplify the expression (1/a)arctan(u/a)+c, we can start by factoring out the constant (1/a) from the arctan function
To simplify the expression (1/a)arctan(u/a)+c, we can start by factoring out the constant (1/a) from the arctan function. This gives us:
(1/a)arctan(u/a)+c = (1/a)(arctan(u/a))+c
Now, let’s simplify further by using the trigonometric identity: arctan(x) = arctan(x/1). Applying this identity, we have:
(1/a)(arctan(u/a))+c = (1/a)arctan(u/1)+c
Next, we can rewrite arctan(u/1) as arctan(u).
(1/a)arctan(u/1)+c = (1/a)arctan(u)+c
Finally, we can further simplify the expression by multiplying the constant (1/a) to the arctan(u). This gives us the final simplified expression:
(1/a)arctan(u)+c
Therefore, the simplified expression of (1/a)arctan(u/a)+c is (1/a)arctan(u)+c.
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