   Chapter 13, Problem 4T ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Evaluate the following definite integrals. (Do not approximate with technology.)(a) ∫ 0 4 ( 9 − 4 x ) d x (b) ∫ 0 3 x ( 8 x 2 + 9 ) − 1 / 2 d x (c) ∫ 1 4 5 4 x − 1 d x (d) ∫ 1 ∞ 7 x 2 d x (e) ∫ 4 4 x 3 + 10   d x (f) ∫ 0 1 5 x 2 e 2 x 3 d x

(a)

To determine

To calculate: The value of the integral 04(94x)dx.

Explanation

Given Information:

The provided integral is 04(94x)dx.

Formula used:

If the function f is continuous on the interval [a,b] then the definite integral of f is,

abf(x)dx=F(b)F(a)

Where, F is any function F(x)=f(x) for all x in the interval [a,b].

The power rule of integral is xndx=xn+1n+1+C, where n1

(b)

To determine

To calculate: The value of the integral 03x(8x2+9)1/2dx.

(c)

To determine

To calculate: The value of the integral 1454x1dx.

(d)

To determine

To calculate: The value of the integral 17x2dx.

(e)

To determine

To calculate: The value of the integral 44x3+10dx.

(f)

To determine

To calculate: The value of the integral 015x2e2x3dx.

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