∫ (from 0 to x) of 2cosθdθ-এর সমাধান করুন

$$\int _ { 0 } ^ { x } 2 \cos \theta d \theta$$

মূল্যায়ন করুন

$$2\sin(x)$$

সমাধানের ধাপগুলো

Evaluate the indefinite integral first.

$$\int 2\cos(\theta )\mathrm{d}\theta$$

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

$$2\int \cos(\theta )\mathrm{d}\theta$$

Use \int \cos(\theta )\mathrm{d}\theta =\sin(\theta ) from the table of common integrals to obtain the result.

$$2\sin(\theta )$$

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.

$$2\sin(x)-2\sin(0)$$

সিমপ্লিফাই।

$$2\sin(x)$$

w.r.t. x পার্থক্য করুন

$$2\cos(x)$$