1. Evaluate the following integrals (a) (x-2x)ex dx (use tabulaltion) (b) (2x+3) sin(3x)dx (use integration by...

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1. Evaluate the following integrals (a) (x³-2x)e²x dx (use tabulaltion) (b) (2x+3) sin(3x)dx (use integration by parts) (c) √ x² sin(x³ + 1) dx (use substitution) (d) x²√4+3xdx (use substitution) 2. Find the area between y = f(x)= x(3x²+2) and the x-axis from x = 0 to x = 1. 1. Evaluate the following integrals (a) (x³-2x)e²x dx (use tabulaltion) (b) (2x+3) sin(3x)dx (use integration by parts) (c) √ x² sin(x³ + 1) dx (use substitution) (d) x²√4+3xdx (use substitution) 2. Find the area between y = f(x)= x(3x²+2) and the x-axis from x = 0 to x = 1.