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 1/sqrt(9-x^2) with respect to x


The function f is defined for all real values of x as f(x) = c + 8x - x^2, where c is a constant. Given that the range of f is f(x) <= 19, find the value of c. Given instead that ff(2) = 8, find the possible values of c.


Find the curve whose gradient is given by dy/dx=xy and which passes through the point (0,3)


write the vector equation of a line passing through (1,-1,2) and (2,2,2).