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2: Y=e^(4(x^3)-3x)

3: T= x^2/3 * e^-3x

q4: find the equation of the curve passing through the point (1,2) and having the slope at the point (x,y) given by dy/dx = 3/x

q5: find dy/dx when y^2 + (y^3)*(e^y) = xy + ln(3x)

q6: Find f If F'(x) = 5e^x and f(0) = 2

my awnsers

1: (1/-2)ln(t)

2: (1/ (4*-3)) * ln(x^3 - x)

3: -3(ln(1/ (x^2/3))) ???

4: (3/2)x^2 * (ln(x)) + c ???

5: this is implicit differentiation? not sure how to solve this one

6: i don't know how to intergrate an exponential function