∫ (from - 2 to frac { pi) of {2}}sinx wrt x-এর সমাধান করুন

$$\int _ { - 2 } ^ { \frac { \pi } { 2 } } \sin x d x$$

মূল্যায়ন করুন

$$\cos(2)\approx -0.416146837$$

সমাধানের ধাপগুলো

Evaluate the indefinite integral first.

$$\int \sin(x)\mathrm{d}x$$

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

$$-\cos(x)$$

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.

$$-\cos(\frac{1}{2}\pi )+\cos(-2)$$

সিমপ্লিফাই।

$$\cos(2)$$