How to solve an equation involving an integral? integral of f(x) = 1?

[calculusisfun]

How to solve an equation involving an integral? integral of f(x) = 1?

Homework Statement

Solve the following equation correct to one decimal place.

integral of f(t)dt from 0 to x is equal to 1

Homework Equations

piece wise function -> f(x) = {sinx/x for x \neq 0 and 1 for x = 0

The Attempt at a Solution

I have no idea how to solve this kind of problem by hand.. I did it on my calculator and got 1.06484

Any ideas?

 

[Quinzio]

Homework Statement

Solve the following equation correct to one decimal place.

integral of f(t)dt from 0 to x is equal to 1

Homework Equations

piece wise function -> f(x) = {sinx/x for x \neq 0 and 1 for x = 0

The Attempt at a Solution

I have no idea how to solve this kind of problem by hand.. I did it on my calculator and got 1.06484

Any ideas?

Come on...if they ask you just one decimal it's clear you have to do some manual computation. So...
What is an integral ? It's a sum.
A sum of infinite terms.
Since we don't have an infinite time, we take just a few steps.
Guess a value for x.
Let's say 2, take 10 steps, so 0.2 each step.
Compute the sum.
If it's over or above 1, adjust your guess.
If you use a spreadsheet use hundreds of term.