Warm up problem 9: simple integrals.

Calculus Level 2

Find the area contained beneath the curve of y = 3 x 2 + 4 y=3x^2+4 from -4 to 4, and above the x-axis.


The answer is 160.

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1 solution

Trevor Arashiro
Sep 28, 2014

Sorry about the previous wrong answer. I thought 4*4=14....

Anyway, we start by integrating the function to y = x 3 + x + c y=x^3+x+c plugging in the values of 4 and -4, we get 80+c and -80+c respectively. Thus 80 + c ( 80 + c ) = 160 80+c-(-80+c)=160

I added "and above the x-axis". Otherwise, the "area beneath the curve" is unbounded.

Calvin Lin Staff - 6 years, 8 months ago

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