-02a fx dx-0a fa-x-fa-x dx

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Property 5

∫02a fx dx=∫0...

Question

$\int_{0}^{2 a} f (x) d x = \int_{0}^{a} (f (a - x) + f (a + x)} d x$

True

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False

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\int_{0}^{a} [f (a + x) + f (a - x)] d x_{=}

List I	List II
I. $\int_{- 1}^{1} x \| x \| d x$	(a) $\frac{π}{2}$
II. $\int_{0}^{\frac{π}{2}} (1 + log (\frac{4 + 3 sin x}{4 + 3 cos x})) d x$	(b) $\int_{0}^{\frac{a}{2}} f (x) d x$
III. $\int_{0}^{a} f (x) d x$	(c) $\int_{0}^{a} [f (x) + f (- x)] d x$
IV. $\int_{- a}^{a} f (x) d x$	(d) $0$
	(e) $\int_{0}^{a} f (a - x) d x$