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(i) S₄=2+4+6+8=20

(ii)S₁₀₀= 2+4+...+200=2(1+2+...+100)=2(100+1)*(100/2)=10100

x^5+C

5(x+4)-3(2+3x)

Expand first bracket 

5x+20-3(2+3x) 

Expand second bracket

5x+20-6-9x

simplify

14-4x

Using the product rule: d/dx(ab)=ab’ + a’b where a and b are variables which have been differentiated with respect to x

Derivative: 2(x^2(dy/dx)+2xy) + 2 + 4dy/dx+πsin(πy)...