Let f(x) = ∫ x³ √(3-x²) dx. If 5f(√2) = -4, then f(1) is equal to | JEE Main 2025 Mathematics PYQ | Jeeify

Log in Start free trial

MCQMediumJEE Main 2025 · 3 April, Shift 1Integration Techniques (Substitution, Parts, Partial Fractions)

Let $f(x) = \int x^3 \sqrt{3-x^2} \, dx$ . If $5f(\sqrt{2}) = -4$ , then $f(1)$ is equal to

A
$-\frac{2\sqrt{2}}{5}$
B
$-\frac{8\sqrt{2}}{5}$
C
$-\frac{4\sqrt{2}}{5}$
D
$-\frac{6\sqrt{2}}{5}$

Answer & step-by-step solution

Sign in to reveal the correct answer, the full step-by-step solution, and the common mistakes for this question.

Sign in to see the solution

Practice more Integration Techniques (Substitution, Parts, Partial Fractions) questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Integration Techniques (Substitution, Parts, Partial Fractions)

Related questions