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Problem 87 Hard Difficulty

If $ f $ is continuous and $ \displaystyle \int^4_0 f(x) \, dx = 10 $, find $ \displaystyle \int^2_0 f(2x) \, dx $.



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Video Transcript

given the fact that we have the integral from zero to after Relax de axe, we know he can write. Are you asked you Axe conclude the two d X is do you? Which means we now have 1/2 times integral from 0 to 2, half to axe times to Jax, which means we have 1/2 of a CIA control from zero for after backs DX. Then we know this is equivalent to 10. It's given. This is my problem. We have 1/2 times 10 5 which is our solution.