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JKCET FTC — practice questions

Explore 1 free FTC questions in JKCET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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FTC questions and exercises with answers

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If $f(x)$ is continuous and $\displaystyle\int_0^x f(t)\, dt = x^2(1 + x)$, then $f(2) = ?$Read the answer and worked solution →

Worked practice questions

If $f(x)$ is continuous and $\displaystyle\int_0^x f(t)\, dt = x^2(1 + x)$, then $f(2) = ?$

  1. $8$
  2. $12$
  3. $16$
  4. $24$
Show answer and solution

Correct answer: C. $16$

By FTC, $f(x) = \dfrac{d}{dx}[x^2(1+x)] = \dfrac{d}{dx}(x^2 + x^3) = 2x + 3x^2$. $f(2) = 4 + 12 = 16$.

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