JEE Main 2025 Mathematics question
If , f(0) = –6, then f(1) is equal to:
Answer: (2)
Solution
Substituting x=t⁴, f(x) = 2(x^(1/4)-1)² + 4ln(1+x^(1/4)) + c. f(0)=–6 gives c=–8. f(1) = 4ln2 – 8 = 4(ln2-2)
If , f(0) = –6, then f(1) is equal to:
Substituting x=t⁴, f(x) = 2(x^(1/4)-1)² + 4ln(1+x^(1/4)) + c. f(0)=–6 gives c=–8. f(1) = 4ln2 – 8 = 4(ln2-2)