PG entrance exam CUET PG 2025 Mock Test Mathematical Science Integral Calculus Double and Triple Integrals
The line integral of \(\int_C\left(1+x^2 y\right) d s\), where the curve C is given by \(\vec{r}(t)=\sin t \hat{i}+\cos t \hat{j} \) (0 ≤ t ≤ π/2) is
1
π/2
2
0
3
π/2 + 1/3
4
π/2 - 1/3