The value of lim x → 0 (∫₀^(x²) sec ²tdt)/xsinx is

Integral Calculus: JEE Main 2003 Mathematics question

JEE Main 2003 · Annual, Paper 1 · Q3299

JEE Main 2003Annual, Paper 1MathematicsEasyIntegral Calculus369× since 2002

The value of

\mathop {\lim }\limits_{x \to 0} {{\int\limits_0^{{x^2}} {{{\sec }^2}tdt} } \over xsinx}

JEE Main 2003 · Annual, Paper 1 · Q3299

JEE Main 2003Annual, Paper 1MathematicsEasyIntegral Calculus369× since 2002

The value of

\mathop {\lim }\limits_{x \to 0} {{\int\limits_0^{{x^2}} {{{\sec }^2}tdt} } \over xsinx}