# Mathematics-I(3110014)

Maths-I-3110014   Indeterminate Forms and L'Haspital's Rule, Improper Integrals, Applications of definite integral
BE | Semester 1  Unit : Indeterminate Forms and L'Haspital's Rule, Improper Integrals, Applications of definite integral

## Q1 (b) Winter-2019   Evaluate $\underset{\mathrm{x}\to 0}{\mathrm{lim}}\frac{{\mathrm{xe}}^{\mathrm{x}}-\mathrm{log}\left(1+\mathrm{x}\right)}{{\mathrm{x}}^{2}}$

Unit : Indeterminate Forms and L'Haspital's Rule, Improper Integrals, Applications of definite integral

## Q3 (a) Winter-2019   Find the value of $\mathrm{\beta }\left(\frac{7}{2},\frac{5}{2}\right)$.

Unit : Indeterminate Forms and L'Haspital's Rule, Improper Integrals, Applications of definite integral

## Q3 (c) Winter-2019   Find the volume of the solid generated by rotating the plane region bounded by about the X axis.

Unit : Indeterminate Forms and L'Haspital's Rule, Improper Integrals, Applications of definite integral

## Q4 (b) Winter-2019   Evaluate ${\int }_{0}^{\infty }\frac{\mathrm{dx}}{1+{\mathrm{x}}^{2}}$.

Unit : Indeterminate Forms and L'Haspital's Rule, Improper Integrals, Applications of definite integral