GATE Chemical 2016 | Question: 2

Question

The Laplace transform of $e^{at}\sin\left ( bt \right )$ is

• A. $\frac{b}{\left ( s-a \right )^{2}+b^{2}}$
• B. $\frac{s-a}{\left ( s-a \right )^{2}+b^{2}}$
• C. $\frac{s-a}{\left ( s-a \right )^{2}-b^{2}}$
• D. $\frac{b}{\left ( s-a \right )^{2}-b^{2}}$