WBJEE · Maths · Definite Integration
If \(f(x)=\int_{-1}^{x}|t|\) dt, then for any \(x \geq 0, f(x)\) is equal to
- A \(\frac{1}{2}\left(1-x^{2}\right)\)
- B \(1-x^{2}\)
- C \(\frac{1}{2}\left(1+x^{2}\right)\)
- D \(1+x^{2}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{2}\left(1+x^{2}\right)\)
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