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We want to "undo" every step of the equation until we have just x on one side. So first add 10 to each side and then divide both sides by 2 to give ln(2x+1) = 5. Take the exponential of each sid...

Hint: Use the chain rule

Answer: dy/dx = 4e^(2x+1)

In this question we are trying to find all the possible solutions of the variable x that will satisfy the given equation. Firstly, we see there is a denominator on one of the terms so we multiply all the ...

x²+6x+5=(x+5)*(x+1)=0 therefore x+5=0 or x+1=0, hence x=-5 and x=-1

Integrate y=x^2 which is 1/3 x^3 Subsitute the limits, (1/3 (3)^3)-(1/3 (1)^3) 27/3 - 1/3 = 26/3