∫ 2θdθ-এর সমাধান করুন

$$\int 2 \theta d \theta$$

মূল্যায়ন করুন

$$С+\theta ^{2}$$

সমাধানের ধাপগুলো

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

$$2\int \theta \mathrm{d}\theta$$

Since \int \theta ^{k}\mathrm{d}\theta =\frac{\theta ^{k+1}}{k+1} for k\neq -1, replace \int \theta \mathrm{d}\theta with \frac{\theta ^{2}}{2}. 2 কে \frac{\theta ^{2}}{2} বার গুণ করুন।

$$\theta ^{2}$$

If F\left(\theta \right) is an antiderivative of f\left(\theta \right), then the set of all antiderivatives of f\left(\theta \right) is given by F\left(\theta \right)+C. Therefore, add the constant of integration C\in \mathrm{R} to the result.

$$\theta ^{2}+С$$

w.r.t. θ পার্থক্য করুন

$$2\theta$$