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Question

Question: If g(x) = <img src="https://cdn.pureessence.tech/canvas_139.png?top_left_x=1104&top_left_y=0&width=2...

If g(x) = dt, then g(x + p) equals -

A

g(x) + g(p)

B

g(x) – g(p)

C

g(x) g(p)

D
Answer

g(x) + g(p)

Explanation

Solution

g(x + p) = = 0πcos4tdt+\int _ { 0 } ^ { \pi } \cos ^ { 4 } t d t + πx+πcos4tdt\int _ { \pi } ^ { \mathrm { x } + \pi } \cos ^ { 4 } \mathrm { tdt }

= + = g(p) + g(x)