defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Integral Calculus Properties of Definite Integrals
If f(a + b - x) = f(x), then\( \int_{a}^{b}\) x f(x) dx is equal to
1
\(\frac{b+a}{2} \int_{a}^{b} f(x) d x\)
2
\(\frac{b-a}{2} \int_{a}^{b} f(x) d x\)
3
\(\frac{a+b}{2} \int_{a}^{b} f(a+x) d x\)
4
\(\frac{a+b}{2} \int_{a}^{b} x f(x) d x\)