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I need to evaluate a definite integral.

label Calculus
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I need to find the definite integral. I do not know how to type the integral sign. But the number on top is 4 and the number on bottom is 0. and the equation is (3x^2-2)^2xdx

Dec 2nd, 2014

Example:

The Definite Integral, from 1 to 2, of 2x dx:


The Indefinite Integral is: ∫2x dx = x2 + C

  • At x=1: ∫2x dx = 12 + C
  • At x=2: ∫2x dx = 22 + C

Subtract:

(22 + C) − (12 + C)

22 + C − 12 − C

4 − 1 + C − C = 3

And "C" gets cancelled out ... so with Definite Integrals we can ignore C.

In fact we can give the answer directly like this:


Yes, it has an area of 3.

(Yay!)

: 

^ There an example that can help you solve the question :) 


Dec 2nd, 2014

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