Solve the following definite integral: f(x)=3e^(2x+1) for the limits a=0 and b=1, leaving your answer in exact form.
First set up integral. Do not forget dx!
Int(f(x)) between 0 and 1
Optionally take out factor of 3 to simplify problem.
Solve using substitution and the exponential rule.
Integrated function should be (3/2)e^(2x+1).
Between limits this gives (3/2)*(e^(3)-e^(1)).
FB
Related Maths A Level answers
All answers ▸Integrate the function f(x)=3^x+2 with respect to x
Tom drink drives two days a week, the chance of him being caught per day is 1 in 100. What is the chance he will not be driving after a) one week? b) one year?
The weight in grams, of beans in a tin is normally distributed with mean U and S.D. 7.8, given that 10% conntain more than 225g a) Find U b) % of tins that contain more than 225 grams(A2 stats)
Prove that 2 cot (2x) + tan(x) == cot (x)