Applied Mathematics for Electrical Engineering (3130908)

Numerical Integration

BE | Semester 3 Unit : Numerical Integration

Q2 (c ( ii )) Winter-2019 State Simpson’s $\frac{3}{8} th$ rule and hence evaluate $\int_{0}^{3} \frac{1}{1 + x} d x$ with $n = 6 .$

Unit : Numerical Integration

Q3 (a) Winter-2019 Use Trapezoidal rule to estimate $\int_{0.5}^{1.3} e^{x^{2}} d x$ using a strip of width $0.2$ .

Unit : Numerical Integration

Q3 (b) Winter-2019
The velocity $v$ of a particle at a distance s from a point on its linear path is given by the following data:

Time ( $t$ ) $0$ $5$ $10$ $15$ $20$ $25$ $30$

Speed ( $v$ ) $30$ $24$ $19$ $16$ $13$ $11$ $10$

Estimate the time taken by the particle to travel the distance of $20 m$ using Simpson’s $\frac{1}{3}$ ^rd rule.

Unit : Numerical Integration

Q4 (a) Winter-2019
Evaluate $\int_{0}^{1} \exp (- x^{2}) d x$ by Gauss integration formula with $n = 3$ .

Unit : Numerical Integration