∫ (from 2 to 4) of wrt x/x-এর সমাধান করুন

$$\int _ { 2 } ^ { 4 } \frac { d x } { x }$$

মূল্যায়ন করুন

$$\ln(2)\approx 0.693147181$$

সমাধানের ধাপগুলো

Evaluate the indefinite integral first.

$$\int \frac{1}{x}\mathrm{d}x$$

Use \int \frac{1}{x}\mathrm{d}x=\ln(|x|) from the table of common integrals to obtain the result.

$$\ln(|x|)$$

The definite integral is the antiderivative of the expression evaluated at the upper limit of integration minus the antiderivative evaluated at the lower limit of integration.

$$\ln(|4|)-\ln(|2|)$$

সিমপ্লিফাই।

$$\ln(2)$$