Question

Question 6: ∫(4 e^3x + 1) dx

Class 12 - Math - Integrals

Answer 1

I = ∫(4 e^3x + 1) dx

I = 4∫e³^x + ∫dx
= 4e^3x/3 + x + C
{ using ∫ax dx = x²/2a

Answer 2

Heya,

we can integrate it by using following rules :-

(1) Integration of
${e}^{x} = {e}^{x}$

(2) Integration of af(x) where a is any constant = a × integration of f(x).

Also, please make a note of following

(3) Integration of
${e}^{ax} = { \frac{e}{a} }^{x}$

(4l Integration of a + b + c....... = integration of a + integration of b.....

Thus,we can easily given integral.

Hope ,you are helped.

Kshitij