Test: Integration IV - Ambitious

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Question 1:   Determine the integral: ( 3x+4 ) 2 dx
( 3x+4 ) 2 6 +C
( x+4 ) 3 3 +C
( 3x+4 ) 3 +C
( 3x+4 ) 3 9 +C
Question 2:   Determine the integral: ( 4+3x ) 6 dx
( 43x ) 5 6 +C
( 4+3x ) 5 15 +C
( 1+3x ) 5 3 +C
( 41x ) 5 4 +C
Question 3:   Determine the integral: 5cos(3x1)dx
3sin(3x1)+C
5 3 cos(3x1)+C
5 3 sin(3x1)+C
5sin(3x1)+C
Question 4:   Determine the integral: 3 4x+5 dx
3 4x+5 ln4 +C
3 4x+5 ln3 +C
3 4x+5 4ln3 +C
e 4x+5 +C
Question 5:   Determine the integral: 12 e 27x dx
e 27x +C
12 7 e 27x +C
( 27x ) e 27x +C
144 e 27x +C
Question 6:   Determine the integral: 8x28 x 2 6x+8 dx
6ln(x2)+2ln(x4)+C
2ln(x2)+7ln(x4)+C
8ln(x1)+4ln(x2)+C
8ln(x6)+C
Question 7:   Determine the integral: 2 x 2 +18x+31 x 2 +5x+6 dx
2x+3ln(x+2)+5ln(x+3)+C
x4ln(x+2)3ln(x+5)+C
6ln(x2)+5ln(x3)+C
3x+2ln(x+2)7ln(x+3)+C
Question 8:   Determine the integral: 1 3 2 x 5 dx
242 2 3
2
484
486
Question 9:   Determine the integral: 0 π ( cosxsinx )dx
2
1
0
1
Question 10:   Find the area bounded by the curve y=5 x 2 +7x+1 and x -axis between x=1 and x=1
5 1 3 units
6units
5 2 3 units
5units