TESL5 MATH 181-Oaline Scans or pics of handwritten work are acceptable but must

Question

TESL5 MATH 181-Oaline Scans or pics of handwritten work are acceptable but must be legible. If you are typing your answers it isacceptable to use karet and . / "notation. So, for example, 2x becomes 2/3 xnx + 3). Also use Dx for derivative with respect to x and sqrt.. rnt..Art...) etc. for roots. 2 Any appropriate solution method is acceptable where more than one exists. FractionalV/Rational exponents and radicals are both acceptable notation for answers Try to do these on your own without resorting to help from Wolfram Alpha or other software. (You need to know that you can do these without help on the final and possibly elsewhere.) However it is OK to use software to check your answers once you have given them your best effort. Ouestions I to ll ealuate the antiderivative (find he indefinite integral)for th folwing functions (Do not forget the constant.) 1. 5x-2x+3x-4 2. 6x 2 +2x4-3x 7. 8. 2x(x-1

Explanation / Answer

5) 3/5x2 +4x -x dx

3x-2/5 +x1/4 -x1/2 dx

= 3(1/((-2/5)+1))x(-2/5)+1 +(1/((1/4)+1))x(1/4)+1  -(1/((1/2)+1))x(1/2)+1 +C

= 3(1/(3/5))x3/5 +(1/(5/4))x5/4 -(1/(3/2))x3/2 +C

= 3(5/3)x3/5 +(4/5)x5/4 -(2/3)x3/2 +C

= 5x3/5 +(4/5)x5/4 -(2/3)x3/2 +C

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