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Integrate integral (2)/( x) dx

June 1, 2026Mathematics

ScanSolve AI Answer

Answer

2 \sin x + C

3 steps

Okay, m. Let's tackle this integral.

Rewrite the integrand using a trigonometric identity.
Recall that $\sec x = \frac{1}{\cos x}$ .
So, the expression $\frac{2}{\sec x}$ can be rewritten as:
$\frac{2}{\sec x} = \frac{2}{1/\cos x} = 2 \cos x$
Rewrite the integral with the simplified integrand.
$\int \frac{2}{\sec x} \, dx = \int 2 \cos x \, dx$
Integrate the expression.
We can pull the constant out of the integral:
$2 \int \cos x \, dx$
The integral of $\cos x$ is $\sin x$ .
$2 \sin x + C$