If F(s) is the Laplace transform of function f(t), then Laplace transform of $\mathop \smallint \limits_0^t f\left( \tau \right)d\tau$ is

Question

If F(s) is the Laplace transform of function f(t), then Laplace transform of $\mathop \smallint \limits_0^t f\left( \tau \right)d\tau$ is

TuteeHUB · Accepted Answer

$\frac{1}{s}F\left( s \right) - f\left( 0 \right)$

TuteeHUB · Answer

$\frac{1}{s}F\left( s \right)$

TuteeHUB · Answer

$sF\left( s \right)\;-\;f\left( 0 \right)$

TuteeHUB · Answer

$\smallint F\left( s \right)ds$

1.	If F(s) is the Laplace transform of function f(t), then Laplace transform of \(\mathop \smallint \limits_0^t f\left( \tau \right)d\tau\) is
A.	\(\frac{1}{s}F\left( s \right)\)
B.	\(\frac{1}{s}F\left( s \right) - f\left( 0 \right)\)
C.	\(sF\left( s \right)\;-\;f\left( 0 \right)\)
D.	\(\smallint F\left( s \right)ds\)
Answer» B. \(\frac{1}{s}F\left( s \right) - f\left( 0 \right)\)

If F(s) is the Laplace transform of function f(t), then Laplace transform of \(\mathop \smallint \limits_0^t f\left( \tau \right)d\tau\) is