Student's Quiz 1 Practice Problems

`HS1: `*x(t) = -cos(t), y(t) = 1/2*cos(t)^2, t = 0 .. 1/3*Pi

`HS2: `*Int(cos(x)^7,x)

`MC1: `*x(t) = 8*cos(t)+8*t*sin(t), y(t) = 8*sin(t)-8*t*cos(t), t = 0 .. 1/2*Pi

`MC2: `*Int((x^3+4)*sin(x),x)

`MC3: `*Int(sec(x)^9*tan(x)^3,x)

`JM1: `*x(t) = 1/3*(2*t+3)^(3/2), y(t) = t+1/2*t^2, t = 0 .. 3

`JM2:  `*Int(tan(x)^8*sec(x)^6,x)

`JM3: `*Int(csc(x),x)

`RJ1: `*x(t) = cos(t)^3, y(t) = sin(t)^3, t = 1/2*Pi .. Pi

`RJ2: `*x(t) = exp(-t)*cos(t), y(t) = exp(-t)*sin(t), t = 0 .. 1/2*2^(1/2)

`RJ3:  `*Int(cos(x)^11*sin(x)^6,x)

`JP1: `*`6`*y = 1/2*(2*x^4+6)/x, x = 0 .. 5

`JP2: `*Int(sin(x)^5*cos(x)^3,x)

`JP3: `*Int(cot(x)^4*csc(x)^2,x)

`RK1: `*x(t) = ln(t), y(t) = exp(t), t = 1 .. 4

`RK2: `*Int(tan(x)^5*sec(x),x)

`RK3: `*Int(cot(x)^3*csc(x)^2,x)

`ER1: `*Int(sin(x)*cos(x)^4,x)

`MK1: `*x(t) = 3/2*t^2, y(t) = 1/9*(6*t+9)^(3/2), t = 1 .. 3

`MK2: `*Int(sin(x)^5*cos(x)^4,x)

`MK3: `*Int((x^2-x)*exp(x),x)

`NK1: `*Int(tan(x)^5*sec(x)^6,x)

`NK2: `*Int(exp(-x)*cos(2*x),x)

`BN1: `*Int(exp(x)*cos(exp(x))^7,x)

`BN2: `*Int(sin(x)^3*cos(x)^(1/2),x)

`DL1: `*Int((1-sin(x))/cos(x),x)

`DL2: `*Int(x*sin(x^2)^3,x)