​ (a) What is the value of ∫x(1 - x)^9 dx, x∈[0,1] If the (i)1/10 (ii) 1/11 (iii) 1/90 (iv) 1/110 ​

Question

(a) What is the value of \(\int\limits_0^1\) x(1 - x)⁹ dx If the

(i) \(\frac{1}{10}\)

(ii) \(\frac{1}{11}\)

(iii) \(\frac{1}{90}\)

(iv) \(\frac{1}{90}\)

(b) Find \(\int\limits_1^0\) (2x + 3) dx of a sum

Answer 1

(a) (iv) \(\frac{1}{110}\)