Describe what is meant by Simpson's rule. Q7. a) The capacity of a battery is measured by foi dt, where i is the current. Estimate, using the trapezium rule, the capacity in ampere/hours of a battery whose current was measured over an 8 hour period with the results shown here: Time/h 2 3 4 5 6 7 0 1 25.2 29.0 31.8 Current/A 36.5 33.7 31.2 29.6 27.3 28.6 b) Estimate Sex² dx using Simpson's rule with 10 strips. Give your answer to 3 decimal places. Solve the following differential equations by integration.