The Gateway to Computer Science Excellence
First time here? Checkout the FAQ!
+2 votes

a) 13 b)8  c)25  d)24
asked in Calculus by Boss (6.4k points) | 147 views

3 Answers

+4 votes
Best answer

Graphical method is easier. Graph of $\left | 3-x \right |$ is as follows :

We just need to find area of the shaded portion, it is nothing but area of two triangles.

For larger triangle, base = 7, height = 7 $\therefore$ Area A1 = $\frac{1}{2}*7*7 = \frac{49}{2}$

For smaller triangle, base = 1, height = 1 $\therefore$ Area A2 = $\frac{1}{2}*1*1 = \frac{1}{2}$

Total required area = A1 + A2  = $\frac{49}{2} + \frac{1}{2} = 25$

answered by Veteran (12.8k points)
edited by
+2 votes

$\int_{-4}^{3} (3-x)dx +\int_{3}^{4} -(3-x)dx$


solve it you will get the answer 25

answered by Active (2.4k points)
0 votes

Since this is a definite integral , there is no question of generation of a constant as a result of integration. 

Integrating , we get (3x-x2/2)

=> 3{4-(-4)} - {(4^2)/2-(-4^2)/2}

=> 3*8 - 0 = 24 

answered by Active (1.7k points)
given answer is 25 , they used the graph method which i didnt understand
Upload the solution here
What is the point in downvoting answer ? If you know the solution, upload it.

Quick search syntax
tags tag:apple
author user:martin
title title:apple
content content:apple
exclude -tag:apple
force match +apple
views views:100
score score:10
answers answers:2
is accepted isaccepted:true
is closed isclosed:true

33,620 questions
40,169 answers
38,551 users