AP EAMCET · Maths · Definite Integration
\(f(x)=\left\{\begin{array}{l}x^2, 0 \leq x < 1 \\ \sqrt{x}, 1 \leq x \leq 2\end{array} \Rightarrow \int_0^2 f(x) d x=\right.\)
- A \(\frac{4 \sqrt{2}-1}{3}\)
- B \(\frac{4 \sqrt{2}+1}{3}\)
- C \(\frac{4 \sqrt{2}-1}{6}\)
- D \(\frac{4 \sqrt{2}+1}{6}\)
Answer & Solution
Correct Answer
(A) \(\frac{4 \sqrt{2}-1}{3}\)
Step-by-step Solution
Detailed explanation
\(\int_0^2 f(x) d x=\int_0^1 f(x) d x+\int_1^2 f(x) d x\)…
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