∫ (from 0 to 2) of y wrt y-এর সমাধান করুন

$$\int_{ 0 }^{ 2 } y d y$$

মূল্যায়ন করুন

$$2$$

সমাধানের ধাপগুলো

Evaluate the indefinite integral first.

$$\int y\mathrm{d}y$$

Since \int y^{k}\mathrm{d}y=\frac{y^{k+1}}{k+1} for k\neq -1, replace \int y\mathrm{d}y with \frac{y^{2}}{2}.

$$\frac{y^{2}}{2}$$

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.

$$\frac{2^{2}}{2}-\frac{0^{2}}{2}$$

সিমপ্লিফাই।

$$2$$