Question

If f is continuous for all x, which of the following integrals necessarily have the same value?

Answer 1

most likely 1 and 3

Answer 2

if you replace x+c by y then you will get 1 integral

Answer 3

agree. the answer is b

Answer 4

f(x+c) is just a horizontal shift c units to the left (if c>0). and you're taking that much off your upper and lower limits so the integrals have to have the same value.

Answer 5

Yeah, I thought it was B too. Thanks guys!