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 $\lim_{x \to 0} \frac{{xe}^{x} - \log (1 + x)}{x^{2}}$

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

Q3 (a) Winter-2019 Find the value of $β (\frac{7}{2}, \frac{5}{2})$ .

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 $y = \frac{1}{x}, x = 1, x = 3$ about the X axis.

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

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

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