If g(x) = 0∫x cos4t dt, then g(x + π) equals

• Integration

If g(x) = ₀∫^x cos4t dt, then g(x + π) equals

1. g(x) - g(π)
2. g(x) / g(π)
3. g(x) + g(π)
4. g(x).g(π)

Answer

g′(x) = cos 4x

g(x) = sin4x/4 + k

g(x) = sin4x/4 [g(0) = 0]

The correct option is C.