समाकलन करें: ∫e^{k√x} / √x dx

Question

समाकलन करें:

\(\int \frac{e^{k \sqrt{x}}}{\sqrt{x}} d x\)

Answer 1

\(\int \frac{e^{k \sqrt{x}}}{\sqrt{x}} d x \)

\(\Rightarrow \int \frac{2 e^{v}}{k} d u=\frac{2}{k} \cdot \int e^{u} d u=\frac{2}{k} e^{u}\)

\( \Rightarrow \frac{2}{k} e^{k \sqrt{x}}+C\)