Evaluate the integral. 4(x – 1)² dx x2

Q: 1. Evaluate the following integrals a) Smx dx (x²+16)3/2 dx

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Q: dx 6. Evaluate the improper integral. x² +3x+ 2

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Q: 4. Evaluate the given integral. |(x + 1)(x – 3)| dx -2

A: Solution:Given∫-20(x+1)(x-3)dx =∫-20(x2-2x-3)dx= ∫-20(x2-2x-3)dx= x33-2x22-3x0-2=0--83-4+6=23

Q: evaluate the given integral. L (ex + e-x)/2 dx

A: To evaluate, ∫ex+e-x2 dx

Q: Evaluate the integrals. -32 a. S x-6/5 dx 1 -π/³1 - cos 2x b. 2 -TT/3 -dx

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Q: T/6 3 coss 3x dx

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Q: 2. Evaluate the improper integral. e COs x dx

A: I=∫0∞ e-x cosx dx Integration by parts;Formula:∫(uv)dx=u∫vdx -∫dudx ∫vdx dxu=cos x, dudx=-sin…

Q: evaluate the given integral.

A: Use Substitution method to determine the value of  integral .

Q: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

A: Evaluate the integral.   ∫0 1 (x2 +1) e-x dx

Q: -3 2e4 Evaluate the given integral: Jo 1+e2x dx.

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Q: B. Evaluate the following integrals: x-9 1) S- dx x2+3x-10

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Q: A. Evaluate the following integrals. dx 1. 5+x²

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate: 2 1 dx x7 The integral is divergent.

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Q: 2. Evaluate the given integral. |2.x² – æx| dx

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Q: evaluate the given integral. L (1 + x)/x dx

A: we have to evaluate the given integral  ∫1+xxdx

Q: II. Evaluate the following integrals 2x 2. S -dx 2 5+2x+x 2

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Q: +00 dx II. Evaluate the improper integral x(In x)²

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Q: Q2) Evaluate the integral x dx a -0.

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Q: B) Evaluate the following integrals: 1) S (x-2)3 dx x²-4 dr

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Q: 5x+6 Consider the indefinite integral e+0 dx:

A: given equation= e5x+6

Q: -1 2x Evaluate the integral dx = 0 x*+1

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Q: Evaluate the improper integral e-1/x dx

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Q: Evaluate the integral. .2 5) t + dx t 1

A: Given,   ∫12t+1t2dx

Q: Evaluate the integral x3 dx 2+100 S x3 dx +100 (Use C as the arbitrary constant.)

A: Given,

Q: Evaluate the integral. S (x² + 8)e-x dx

A: We need to evaluate integral.

Q: Q2) Find the integral of: L*„6 tan*x dx 4

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: a) Evaluate the following integrals 1)/ xe dx 2) x2 sin x dx 3) x sin 2x dx

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Q: 1. Evaluate the integral: (a) cos(x) dx dy 4y

A: the given integral is: we have to evaluate the given integral.

Q: Q2) Evaluate the integral x3 dx 3 a *0.

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Q: Evaluate the integral. S(e* +8e -*) dx | (e 4x +8 e -x) dx =[(Use C as the arbitrary constant.)

A: Consider the given integral.

Q: Evaluate the integral 1 2-x xy dy dx 0 x2

A: Here we have to evaluate the given integral

Q: 15 Find the integral | 2/x (1+x) dx.

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Q: a) Evaluate the following integrals 1) | xe3xdx x² sin x dx 3) | x sin 2x dx

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Q: 02: Evaluate the following integrals: secxdx 1. S- VIn(secx+tanx) 3. VInn 2xex² cos(e**) dx

A: Use the substitution method to solve these problems.

Q: Q(1) Find the integral of Vx² – 16 dx

A: Use substitution method to find its integration.

Q: the integral , dx is equal to: -2 x2+4x+5 4 2 the above the above

A: We will find the solution of the integral.

Q: a) [ ]: Evaluate the integral (4x + 1) In x dx c) [ ]: Evaluate the integral 2 dx (x – 1)(x + 4) |

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Q: In(x) -dx Evaluate the integral m(2)

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Q: Q2) Evaluate the integral x* dx 0.

A: To evaluate the given integral

Q: 4. Evaluate the following integrals. A) (3x² + 2x) dx 16 B) S°x-5/* dx

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Q: 3. Evaluate the following integrals. (a) / х — 1 x2 + x (b) / 2х — 3 dx x³ + x

A: We have to find the integral

Q: f(x) dx = -3, f(x) dx = 8, and g(x) dx = 8, find the following integrals. If 1. f(x) 2. + 6] dx =

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Q: 00 The improper integral | dx is x+2) -1

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Q: 8x dx Evaluate the given integral: J 1x2-5

A: Recall: ∫1ax+bdx=1alnax+b +C; where 'C' is an integration constant.

Q: 3. Evaluate the following integrals: 0 3 dx a) -13x-2 sec x dx b) JIn(secx+tan x)

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Q: 3. Find the integral: L,x*dx

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Q: dx Evaluate the improper integral (x-3)2

A: Given query is to find the value of the integral

Q: A. Evaluate the following integrals 1. 2. L. 3. , e*dx dx dx -1 x2/3 4. SE tanodo -4 dx

A: solution:-Q.(4) ∫-∞π2tanθdθsolving the improper…

Q: Evaluate the integrals: i) ² ²2 xe dy dx **² -xz

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…