How do I integrate 2^x?

Let's first consider the differential of 2x. We know that this becomes ln(2)*2x. We can compare this to the integrand and see that this is very close indeed! The only problem is that ln(2). So now consider 2x / ln(2). When we differentiate this we get 2x. So we conclude that the integral of 2x is 2x / ln(2) + C (don't for get the +C!). This is sometimes known as the reverse chain rule.

JH
Answered by Jordan H. Maths tutor

86583 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What method should I use to differentiate equations with an x as the power of a number. E.g. 2^x


Find the integral of the following equation: y = cos^2(x)


Find the area under the curve y = (4x^3) + (9x^2) - 2x + 7 between x=0 and x=2


Find the coordinates of the sationary points on the curve x^2 -xy+y^2=12


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences