JEE Math Practice Question

Let $$I_{n}(x)=\int_{0}^{x} \frac{1}{\left(t^{2}+5\right)^{n}} d t, n=1,2,3, \ldots .$$ Then :

1. A.$$50 I_{6}-9 I_{5}=x I_{5}^{\prime}$$
2. B.$$50 I_{6}-11 I_{5}=x I_{5}^{\prime}$$
3. C.$$50 I_{6}-9 I_{5}=I_{5}^{\prime}$$
4. D.$$50 I_{6}-11 I_{5}=I_{5}^{\prime}$$