∫ (from 1200 to 1500) of 26x^01 wrt x-এর সমাধান করুন

$$\int _ { 1200 } ^ { 1500 } 26 x ^ { 01 } d x$$

মূল্যায়ন করুন

$$7800$$

সমাধানের ধাপগুলো

Evaluate the indefinite integral first.

$$\int 26\mathrm{d}x$$

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

$$26\int 1\mathrm{d}x$$

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

$$x$$

সিমপ্লিফাই।

$$26x$$

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.

$$26\times 1500-26\times 1200$$

সিমপ্লিফাই।

$$7800$$