∫ (from 0 to 8) of V(t)dt-এর সমাধান করুন

$$\int _ { 0 } ^ { 8 } V ( t ) d t$$

মূল্যায়ন করুন

$$32V$$

সমাধানের ধাপগুলো

Evaluate the indefinite integral first.

$$\int Vt\mathrm{d}t$$

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

$$V\int t\mathrm{d}t$$

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

$$V\times \frac{t^{2}}{2}$$

সিমপ্লিফাই।

$$\frac{Vt^{2}}{2}$$

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.

$$\frac{1}{2}V\times 8^{2}-\frac{1}{2}V\times 0^{2}$$

সিমপ্লিফাই।

$$32V$$

w.r.t. V পার্থক্য করুন

$$32$$