Question

Evaluate: 

(i)  ∫x⁷ dx

(ii)  ∫x^-7 dx

(iii)  ∫x^-1 dx

(iv)  ∫x^5/3 dx

(v)  ∫x^-5/4 dx

(vi)  ∫2^x dx

(vii)  ∫³√x² dx

(viii)  ∫1/⁴√x³ dx

(ix)  ∫2/x² dx

Answer 1

(i) We know that

(ii) We know that

(iii) ∫x^-1 dx

So we get

(iv) We know that

(v) We know that

(vi) We know that

(vii) We know that

(viii) We know that

(ix) We know that