n3 e the following: i) ii) (7x² + 5x+)dx (8x³+2√x++)dx Given that f'(x) = 3x² - 4x + 10x6 and y=f(x) passes through the point (1, 3) find an expression for f(x).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 21RE
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Calculus Question 3

Question 3
Integrate the following:
i)
ii)
iv)
√(7x² + 5x + 1)dx
4
ƒ(8x³ + 2√x +−)dx
10
Given that f'(x) = 3x² - 4x + 10x6 and y=f(x) passes through the point (1, 3) find an expression
for f(x).
10
Find the area of the shaded region under the curve y =
shown below.
between the values 4 and 2 on the x axis
Transcribed Image Text:Question 3 Integrate the following: i) ii) iv) √(7x² + 5x + 1)dx 4 ƒ(8x³ + 2√x +−)dx 10 Given that f'(x) = 3x² - 4x + 10x6 and y=f(x) passes through the point (1, 3) find an expression for f(x). 10 Find the area of the shaded region under the curve y = shown below. between the values 4 and 2 on the x axis
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