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 ▸how to turn a fraction in the form of (x + a)/(x + b)^2 into partial fractions?
Figure 1 shows a sector AOB of a circle with centre O and radius r cm. The angle AOB is θ radians. The area of the sector AOB is 11 cm2 Given that the perimeter of the sector is 4 times the length of the arc AB, find the exact value of r.
Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2
Differentiate with respect to x. y(x) = e^(7x^2)