Evaluate : (i) `int3x^(2)dx` , (ii) `int2^((x+3)) dx`

1.	Evaluate : (i) `int3x^(2)dx` , (ii) `int2^((x+3)) dx`
Answer» (i) `int3x^(2)dx = 3intx^(2)dx = 3.(x^(2))/(3)+C=x^(3)+C`. (ii) `int2^((x+3)) dx = int2^(x).2^(3)dx = 8int2^(x)dx = 8.(2^(x))/(" log" 2) + C = (2^((x+3)))/(" log" 2)+ C = (2^((x+3)))/(" log" 2) + C`.

Discussion

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Evaluate : (i) `int3x^(2)dx` , (ii) `int2^((x+3)) dx`