3t L[e* (6 cosh(3€) – sinh(5t) ) O A. 6. (s – 3)* – 9 (s – 3)- 25 OB. S-3 (s – 3) (s- 3) - 25 OC. S-3 6. 1 (s - 3) -3 (s – 3) - 5 (s – 3)* – 5 OD. 6. (s – 3) -9 (s-3)- 25 S-3 OE. S+3 6. (s + 3) -9 (s +3)- 25 |

Q: dx 4. x(х + 4) 1

A: Consider the given integration as ∫1∞dxxx+4

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A:

Q: 12.6 Solve the following Problem min 0 Sub Jet To (x² + u²) dr u₁ x (0) = 0 yx (1) ≥ 1. X = U, X

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Q: 1 dx 4x 12 /-

A: Our Aim is to integrate ∫2314xdx -(i)

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A: Given: I=∫3dx8+7cosx For evaluating given integral, we use identity cosx=1-tan2x21+tan2x2 then…

Q: 19– x² 1. dx

A: Our Aim is to solve the integral given below:-∫9-x2xdx

Q: 4 – 5x2 dx. ¤/3x² – 1 9. Evaluate -

A: To find the given integration.

Q: 3 4 dx . (5+2x)' 3. Evaluate

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Q: 5 sin x +3= -0.8

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Q: Find a number a + 5 such that S" (1 – æ) dæ = 0

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Q: Jo 1 (x+8)5/3 dx

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

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A: Topic:- application of integration

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

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A:

Q: x² 3 (x + 2)5 S dx

A: ∫un du = un+1n+1+C

Q: sech (x*) tanhl 12.

A: 12. Given integral is ∫sech3(x13) tan h(x13) x23dx Let us make substitution to simplify the above…

Q: Evaluale the to 312 bwiny dx 12

A:

Q: Evaluate O a. 3/4ln4 O b. 3/2ln2 O c. 2/3ln3 O d. 5/6ln6

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Q: 8. dx (36-262

A: Integrate by using trigonometric substitution

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Q: 5 4 dx

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Q: Evaluate -o (i +1) 3° ui = 0

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Q: ſcos(5x-8)cx O a. cos ec(5x – 8) +c O b. sec (5x – 8) +c O c.- sin(5x-8) +c 5 O d. sin(5x-8) +c 5

A: Please refer the attached image for complete solution.

Q: In(12 x- 11) dx

A:

Q: 2-8x Evaluate dx. 49-4x

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Q: j dx (2x-3) 15-12x+cx 2

A: As per the guidelines, we can be answered only for first question. Please repost the rest question…

Q: B. Evaluate the following .5 |x² – x - 6| dx -5 1.

A: The question is determine the question is evaluate the definite integral. Note -  As per our…

Q: 3 13 (3.) [ 1 5 dx 2 x 1 - 16x

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Q: のJsk。 @ Sshx c de (2

A:

Q: 1/4 S (2 + sec)? dx

A: Please go through the attached solution. I hope that it  will help you .Thankyou . Best regards.

Q: cosh?x-sinh²x = 1 %3D

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Q: 1 dx O (1+ x)1/4 1.

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Q: 7s 2 2s-8

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Q: Steps S 10sin(2x)cos(2x)V cos (2x) – 5 dx

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Q: 15 dx (x + 1)(x² + 4)

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Q: 2x?+9х-1 1. S x(x2-1) dx

A:

Q: If a ib and b i y, then b y

A: Given, Lines a, b, x, y  and  z a∥b b⊥y The, we have to find the correct option.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.