Question
Asked Dec 11, 2019
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How do I find the definite integral of these problems?

Find the indefinite integral.
4.
1-3х
dp.
s* dx
a.
S(2x* — 16х)(x3 — 2) dx
b.
S(3х — 3)е**-2х dx
C.
х2
dx
1-2х3
d.
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Find the indefinite integral. 4. 1-3х dp. s* dx a. S(2x* — 16х)(x3 — 2) dx b. S(3х — 3)е**-2х dx C. х2 dx 1-2х3 d.

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Expert Answer

Step 1

(a)

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1– 3x dx = || 3 dx x? dx - 3 dx = fx* dx- 3[x² dx (-frit ) fx'dx =- Sr'dx- 3. -+C +c -2 +1 -3+1 n+1 х 3- -2 -1 3 +C 2x? х

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Step 2

(b)

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[(2x* – 16x)(x² – 2)dx = [(2x' – 20x* + 32x)dx 2x 20x 32.x fr'dx = +c n+1 - 4x° +16x? + C 4

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Step 3

(c)

...
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(3x– 3)(e*-*)dx = 3f(x-1)e*-* dx 3х (2r- 2) e** dr *d(2x– 2) (: fe*dx =e* +C) 3

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