TS EAMCET · Maths · Definite Integration
\[ \int_0^{2 a} f(x) d x= \]
- A \(2 \int_0^a f(x) d x\)
- B \(\int_0^a(f(x)+f(x+a)) d x\)
- C 0
- D \(\int_0^{2 a} f(2 a+x) d x\)
Answer & Solution
Correct Answer
(B) \(\int_0^a(f(x)+f(x+a)) d x\)
Step-by-step Solution
Detailed explanation
Given \(\int_0^{2 a} f(x) d x\) \[ \int_0^{2 a} f(x) d x=\int_0^a f(x) d x+\int_a^{2 a} f(x) d x \] Let \(x=a+t\), when \(x=a, t=0\) \(d x=d t, x=2 a, t=a\)…
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