defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Integral Calculus Indefinite Integrals
Let I(x) = \(\int \frac{\mathrm{dx}}{(\mathrm{x}-11)^{\frac{11}{13}}(\mathrm{x}+15)^{\frac{15}{13}}} .\)
If I(37) – I(24) = \(\frac{1}{4}\left(\frac{1}{b^{\frac{1}{13}}}-\frac{1}{c^{\frac{1}{13}}}\right)\), b, c ∈ ℕ, then 3(b + c) is equal to
1
40
2
39
3
22
4
26