lp and asnwer these. thanks mates. please he Evaluate the integral using integra

Question

lp and asnwer these. thanks mates. please he

Evaluate the integral using integration by parts where possible. HINT [See Examples 1-3.] (Use C x2 In x dx Evaluate the integral using integration by parts where possible. HINT [See Examples 1-3.] (Use C (t2 -t)In(-t)dt Evaluate the integral using integration by parts where possible. HINT [See Examples 1-3.] (x+1)ex dx Evaluate the integral using integration by parts where possible. HINT [See Examples 1-3.] (Use C for the constant of integration.) (1 - x2)4-x dx C+4-x(x2-1/In(4)+2x/log2(4)+2/log3(4)log3(4)

Explanation / Answer

1. x^2 ln(x) dx = 1/9 x^3 (3 ln(x)-1)

2. (t^2-t) ln(t) dt = 1/36 t^2 (-4 t+6 (2 t-3) ln(t)+9)

3. 0 to 1 (x+1) e^x dx = e~~2.71828

4. (1-x^2) 4^(-x) dx = (4^(-x) (x^2 log^2(4)+x ln(16)+2-ln^2(4)))/(ln^3(4))

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