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

Q: Evaluate the integral: fe2 /1+ e2 dx

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Q: Q4) Solve the integral by Simpson's rule x3 cos2x dx, h 0.2

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Q: Find the integral of (e^x - 1)/(e^x + 1) dx.

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Q: 1. S(x3/2 + 2x + 1) dx

A: consider I= ∫x32+2x+1dx

Q: Q.1 Find the integral of f 2 /x+ e* ) dx. - 3

A: We will find the integral as following.

Q: ! 6-Find the value of the integral * U x3/2 e-x dx

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Q: 14e" dx 1+ e20

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Q: 3. Evaluate the indefinite integral e* –3 -dx (e²x +1)(e* – 2)

A: Consider the equation

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: Evaluating the integral | (2.x* +e* –-)dx gives: O A. 2 +e* – 2 In |x| +c - O. 4.x² +e* – 2 ln|x|+c…

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Q: Find the indefinite integral.

A: Let ex+e-x=v. Differentiate both sides: (ex-e-x)dx=dv Substitute v and dv in the integral…

Q: n x³cos²x dx Compute the integral. -T 1+sin10x

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Q: Evaluate the integral. | (e7* +3e -x) dx 7X +3 e -X) dx=

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Q: 1. Evaluate the integrals x³e- dx

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Q: (a) Evaluate the integral 9x"e¬X dx for n = 0, 1, 2, and 3. n = 0 9. o((-") - (-1)) n = 1 е | n = 2…

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Q: |(x² + a) 5 5x The resulting integral of dx is In +eTan-1X + C, where a, b, d, and e are integers.…

A: Given:        ∫5xx3+x2+4x+4dx Apply linearity:     =5∫xx3+x2+4x+4dx Factor the denominator:…

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

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Q: 24. ( (x² + 1)e*dx

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Q: 2 1 e dx e

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Q: Find the integral of (1 2x) e^ (-x) dx from x-0 to x=. с. 2 А. 3 в. 4 D. 1 O B

A: ∫ uv dx = u ∫ v dx - ∫ (u' ∫ v dx) dx. ∫ (1+2x)e-xdx = -(1+2x)e-x + ∫2e-xdx ∫ (1+2x)e-xdx =…

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

A: given equation= e5x+6

Q: How do I find K of the integral e^(x^2/2)dx on the bounds from 0-2 what is E_T? and what must n…

A: Given: The error in trapezoidal rule is given as:

Q: 12. Find the integral of S (x². √(x² + ² =) dx

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

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Q: Find the indefinite integral.

A: Given : ∫e2x1+e2xdx

Q: Question-10 Evaluate the following integrals. a) S ( + 10) dx +e 3x

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: e*dx e2x +1

A: We know that; ∫axdx=axlna+C And ddxcot-1x=-11+x2   Given: I=∫7cot-1exexdxe2x+1   ....1

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

A: We need to evaluate integral.

Q: 5 Find the following indefinite integrals. 10 b. J- S(x+2)' dx a. (3x-7) xp-

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Q: 6. Evaluate the integrals So (x² +1) e-* dx a- b- Sx2V2 + x dx

A: Given :(a) ∫01(x2+1)e-xdx(b) ∫x22+xdx

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

A: LetI=∫-π4π46tan4xdxTake the constant…

Q: 2. Find the integral of xe*dx using Simpson's 1/3 Rule with n = 4.

A: Simpson's 1/3 rule for integration :-  here 'h' is difference between each interval which are…

Q: Evaluate the integral. dx (х — 13)(х — 23) (Use symbolic notation and fractions where needed. Use C…

A: Explained below

Q: Integrals with e Evaluate dx. 1 + e

A: Given- ∫ex1+exdx To evaluate- The above integral. Concept Used- Substitution method can be used to…

Q: Evaluate the integral S-21 (x+2)(x-1)dx

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Q: 8x dx Evaluate the given integral: S; 4x2-5

A: Here we have to evaluate I=∫8x4x2-5dx

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

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Q: 7. Evaluate the definite integrals: a) L, (x2 +1) dx b) 3x dx

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Q: 6. Evaluate the integral e* dx ex + e-x

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Q: ー2X 2 e Evaluate the integral 4え |

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Q: 3 Evaluate the improper integral :S e2 dx

A: e-198

Q: 0∫in2 (ex)/(1+e2x)dx  evaluate the integral

A: Let's find.

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: السؤال 8 Evaluate the improper integral if it exists e'dx: - 00 -e.1 O e.2 O .3 0 The improper…

A: We will evaluate the integral and check if it converges.

Q: 11. The integral of an(In|4x-12 dx is bln|sec(ln(2x)ª)|. What is b? A. 2 В. 2 С. 4 D.

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Q: how do I find the integral of e^-xsec^2(e^-x)dx

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Q: 3. Find the indefinite integral. S (3e* + +x³ + 3) dx

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Q: [2'e'dx X

A: Given

Q: Sõlve the integral - In 3 x'e-*dx 2.

A: The given integral ∫0ln3x2e-xdx can be evaluated as, ∫x2e-xdx=x2×∫e-xdx-∫ddxx2×∫e-xdxdx+C…

Q: 4) Evalvate the integral E 4 1+x² dx

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