(i) ∫14fx dx, where fx=4x+3, if 1≤x≤23x+5, if 2≤x≤4(ii) ∫09fx dx, where fx sin x,0≤x≤π/21,π/2≤x≤3ex-3,3≤x≤9(iii) ∫14fx dx, where fx=7x+3,if 1≤x≤38x,if 3≤x≤4(iv) ∫-12xxdx

(i) ∫14fx dx, where fx=4x+3, if 1≤x≤23x+5, if 2≤x≤4(ii) ∫0

1.	(i) ∫14fx dx, where fx=4x+3, if 1≤x≤23x+5, if 2≤x≤4(ii) ∫09fx dx, where fx sin x,0≤x≤π/21,π/2≤x≤3ex-3,3≤x≤9(iii) ∫14fx dx, where fx=7x+3,if 1≤x≤38x,if 3≤x≤4(iv) ∫-12xxdx
Answer» (i) $\int_{1}^{4} f (x) d x, where f (x) = \{\begin{cases} 4 x + 3, if 1 \leq x \leq 2 \\ 3 x + 5, if 2 \leq x \leq 4 \end{cases}$ (ii) $\int_{0}^{9} f (x) d x, where f (x) \{\begin{matrix} \sin x & , & 0 \leq x \leq π / 2 \\ 1 & , & π / 2 \leq x \leq 3 \\ e^{x - 3} & , & 3 \leq x \leq 9 \end{matrix}$ (iii) $\int_{1}^{4} f (x) d x, where f (x) = \{\begin{matrix} 7 x + 3 & , & if 1 \leq x \leq 3 \\ 8 x & , & if 3 \leq x \leq 4 \end{matrix}$ (iv) $\int_{- 1}^{2} \frac{\|x\|}{x} d x$