∫ frac{1/2sqrt{2}}{u-sqrt{2}}-এর সমাধান করুন

$$\int \frac { \frac { 1 } { 2 \sqrt { 2 } } } { u - \sqrt { 2 } }$$

মূল্যায়ন করুন

$$\frac{\sqrt{2}x}{4\left(u-\sqrt{2}\right)}+С$$

সমাধানের ধাপগুলো

Find the integral of \frac{1}{2\sqrt{2}\left(u-\sqrt{2}\right)} using the table of common integrals rule \int a\mathrm{d}x=ax.

$$\frac{1}{2\sqrt{2}\left(u-\sqrt{2}\right)}x$$

সিমপ্লিফাই।

$$\frac{\sqrt{2}x}{4\left(u-\sqrt{2}\right)}$$

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

$$\frac{\sqrt{2}x}{4\left(u-\sqrt{2}\right)}+С$$

w.r.t. x পার্থক্য করুন

$$\frac{\sqrt{2}}{4\left(u-\sqrt{2}\right)}$$