Mathematics-I (3110014)

Maths-I-3110014

Integral

BE | Semester 1 Unit : Integral

Q2 (c) Winter-2019 Change the order of integration and evaluate $\int_{0}^{1} \int_{x}^{1} \sin (y^{2}) dy dx$ .

Unit : Integral

Q3 (b) Winter-2019 Evaluate $\iint (x^{2} - y^{2}) dx dy$ over the triangle with the vertices $(0, 1), (1, 1), (1, 2)$ .

Unit : Integral

Q4 (a) Winter-2019 Evaluate $\int_{0}^{π} \int_{0}^{\sin (θ)} r d r d θ$ .

Unit : Integral

Q5 (a) Winter-2019 Evaluate $\int_{0}^{1} \int_{1}^{2} xy d y d x$ .

Unit : Integral

Q5 (c) Winter-2019 Evaluate $\int \int \int xyz dx dy dz$ over the positive octant of the sphere $x^{2} + y^{2} + z^{2} = 4$ .

Unit : Integral