Question
Download Solution PDFLet f(x) be an even function then \(\rm \int_{-a}^{a}f(x)dx=?\)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
A function is said to even if f(-x) = f(x)
A function is said to be odd if f(-x) = -f(x)
Calculation:
For an even function
\(\rm \Rightarrow \int_{-a}^{a}f(x)dx=2\int_{0}^{a}f(x)dx\)
If function is odd then
\(\rm \Rightarrow \int_{-a}^{a}f(x)dx=0\)
Hence , 4 is correct
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