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If for a continuous function $f,$
$\int_{- a}^{a} f (x) d x = K \int_{0}^{a} (f (x) + f (- x)) d x$ then the value of $K$ is

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detailed solution

Correct option is A

∫−aa f(x)dx=∫−a0 f(x)dx+∫0a f(x)dx=−∫a0 f(−x)dx+∫0a f(x)dx=∫0a (f(−x)+f(x))dx.

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If for a continuous function f,∫−aa f(x)dx=K∫0a (f(x)+f(−x))dx then the value of K is

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

If for a continuous function $f,$
$\int_{- a}^{a} f (x) d x = K \int_{0}^{a} (f (x) + f (- x)) d x$ then the value of $K$ is