Project ForgeEngineering Mathematics
Differential Equations
GATE 2014
Medium
For the time domain function f(t)=t², which ONE of the following is the Laplace transform of ∫₀ᵗ f(t)dt?
- A3/s⁴
- B1/(4s²)
- C2/s³
- 2/s⁴
Explanation
L{t²}=2/s³. The Laplace transform of an integral divides by s: L{∫₀ᵗf(t)dt}=F(s)/s=(2/s³)/s=2/s⁴.
Source: GATE CH 2014 (2014)
This question is part of a 15-day revision cycle — sign in and Project Forge will bring it back the day before you'd forget it.