   Chapter 4.5, Problem 67E

Chapter
Section
Textbook Problem

# The following exercise are intended only for these who have already covered Chapter 6.Evaluate the integral. ∫ d x 5 − 3 x

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 differentiation

g(x)dx =du

2) Formula:

i.

cf(x)dx=cf(x)dx

ii.

1xdx=lnx+c

3) Given:

dx5-3x

4) Calculation:

Consider the given integral dx5-3x

Here using the substitution method

Substitute 5-3x=u,

Differentiating with respect to x

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