f-x-f-x-3pi-8-x-R-if-0-3pi-8-f-x-dx-t-then-pi-5pi-2-f-x-pi-dx-A-2t-B-3t-C-4t-D-6t-E-8t-

Question Number 89745 by jagoll last updated on 19/Apr/20

f (x) = f (x + \frac{3 π}{8}), \forall x \in R

if \underset{0}{\int^{3 π / 8}} f (x) dx = t, then

\underset{π}{\int^{5 π / 2}} f (x - π) dx =

A . 2 t B . 3 t C . 4 t D . 6 t

E . 8 t

Commented by john santu last updated on 19/Apr/20

\underset{π - π}{\int^{\frac{5 π}{2} - π}} f (x) d x = \underset{0}{\int^{\frac{3 π}{2}}} f (x) d x =

\underset{0}{\int^{4 \times \frac{3 π}{8}}} f (x) d x = 4 t

Commented by jagoll last updated on 19/Apr/20

yes

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