Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

integrate.\\(\\int 18\\cos(x) dx\\)\\(=\\square + c\\)

Question

integrate.\\(\int 18\cos(x) dx\\)\\(=\square + c\\)

Explanation:

Step1: Use constant multiple rule

The integral of a constant multiple of a function is the constant multiple of the integral of the function. So, $\int 18\cos(x)dx = 18\int \cos(x)dx$.

Step2: Integrate cos(x)

We know that the integral of $\cos(x)$ with respect to $x$ is $\sin(x) + C$. So, $18\int \cos(x)dx = 18\sin(x) + C$.

Answer:

$18\sin(x)$