   Chapter 4.5, Problem 70E

Chapter
Section
Textbook Problem

# The following exercise are intended only for these who have already covered Chapter 6.Evaluate the integral. ∫ d x a x + b ( a ≠ 0 )

To determine

To evaluate:

The given integral.

Explanation

1) Concept:

The substitution rule: If u=g(x) is a differentiable function whose range is I, and f is continuous on I, then f(gx)g'xdx=f(u)du. Here g(x) is substituted as u and then g(x)dx =du

2) Formula:

i.

cf(x)dx=cf(x)dx

ii.

1xdx=lnx+c

3) Given:

dxax+b

4) Calculation:

Considerthegiven integral dxax+b

Here, we use the substitution method

Substitute ax+b=u,

Differentiating with respect to

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