Evaluate the definite integral of the algebraic function.
Use a graphing utility to verify your results.

A)-11
B)10
C)-14
D)-28
E)-6

Question

Evaluate the definite integral of the algebraic function. ​  ​
Use a graphing utility to verify your results.
​
A)-11 
B)10 
C)-14 
D)-28 
E)-6

Quizplus · Accepted Answer

Taking the antiderivative of the function gives us $-3x^4+4x^3-2x^2+8x$. Evaluating this from $-1$ to $2$ gives us $[-3(2)^4+4(2)^3-2(2)^2+8(2)]-[-3(-1)^4+4(-1)^3-2(-1)^2+8(-1)] = -14$. Graphing the function and using the calculator's numerical integration feature confirms this result.

Evaluate the Definite Integral of the Algebraic Function