# Consumer and producer surplus with integrals

The demand equation for a product is $$p= 70- \frac{60q}{\sqrt{q^2+3600}}$$ and the supply equation is $$p= 10\cdot \ln(q+20)-28$$ Determine the​ consumers' surplus and the​ producers' surplus under market equilibrium. Round your answers to the nearest integer. (must use the equations for producer and consumer surplus, which use integrals)

I know that usually you must set the equations equal to each other and you need to get the equilibrium quantity. once this is found you plug it into the demand equation to get the price at equilibrium. then you plug in these amounts into the consumer surplus equation. But I cant figure out how to get one variable from setting the equations equal to each other. Please help with this.

• This looks like a do-my-homework question which might get a lot of downvotes... Please edit the question. Provide additional contest or show what you've done. Where did you get stuck? – Dr. Mathva Apr 6 at 22:05