∫ 1/x-2x-এর সমাধান করুন

$$\int \frac { 1 } { x - 2 x }$$

মূল্যায়ন করুন

$$-\ln(|x|)+С$$

সমাধানের ধাপগুলো

Factor out the constant using \int af\left(x\right)\mathrm{d}x=a\int f\left(x\right)\mathrm{d}x.

$$\frac{\int \frac{1}{x}\mathrm{d}x}{1-2}$$

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

$$\frac{\ln(|x|)}{1-2}$$

সিমপ্লিফাই।

$$-\ln(|x|)$$

If F\left(x\right) is an antiderivative of f\left(x\right), then the set of all antiderivatives of f\left(x\right) is given by F\left(x\right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$-\ln(|x|)+С$$

w.r.t. x পার্থক্য করুন

$$-\frac{1}{x}$$