Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b. 1/6 (tanh e)2+c d. 1/3 (tanh e")² + c O d

Q: 5) L (4 4 sinh 3 2t +3 sinh 2tỷ

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Q: X-1 (x - 2)² 5. S dx

A: We have to evaluate the integral.

Q: 11. Find e*sinx dx

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Q: 1 5. S z dx x²(5+x)3

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Q: 2. S2² 52. x² sin 2x dx

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Q: Q1) Show that: (b) (cosx) = -sinx =1+* (a) (1+x) =1+6x %3! (e) (VF) = (d) v1+ tan x

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: •3 fx(2-x) 10. dy dx 0. r2VIn 3 VIn 3 35. •VIn 3 et dx dy

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

Q: 3. (2 + ln x)³ √ (2+1) X A. (2 + ln x) 4 +C -dx C. (2 + Inx)³ + C 4 {1tinx? Syn (2+1mx) +C 20 B. (2…

A: We can solve the integral using substitution method. Here we substitute 2+lnx by z and then apply…

Q: (in) S 15:22 15-z dx. u = (M S 15 - TV9 – a² dx. u= (vi) S dr. u = 22+15

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Q: 3√3 dx X²³√x² +9

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Q: sinh e/2 dx is equal to e/2 2 cosh e 7/2 + C 2 cosh e"/2 + C O - (sinh e /2) + C 1 O -2 cosh e I/2 +…

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Q: / In (x? – x + 2) dx — х+2) dx

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Q: a) L{te3t – sint + cost} =? 1 =? b) L-'s-2)(s2+25-5)

A: a) We have to find ℒte3t-sint+cost

Q: d 3(In(In x))? 13. - (In(In x)}³ dx x In x

A: According to the question, we have to prove the statement ddxlnlnx3=3lnlnx2xlnx. The derivative of a…

Q: x²dx х2—4

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Q: 8, tan (tan 9.

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Q: 2tan-(x) dx = (e)None In2 In4 In2 In4

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Q: 5s L-1 ] = ? s2-25 %3D

A: L{ cos hat} = L{eat +e-at2}                       = 12 1s-a + 1s+a                        =  ss2 -…

Q: (In be*) dx b = constant A. x + In be* В. 1 С.b D. 1+ x

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Q: 10 · S (sech u + tanh u)² du

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Q: 8. 2 – 0.5x² ) dx 3 16/2 – 0.5x² – 4x² /2 – 0.5x? V - - -

A: We have given expression as ∫-22(162-0.5x2-4x22-0.5x2-832-0.5x2)dxit can be simplified…

Q: 3. (0.002x4 -0.3x² + 4x - 7) dx

A: The given integral is    ∫-1010(0.002x4-0.3x2+4x-7)dx

Q: d 61. tanh(e*) = e* sech²(e*) dx

A: It is given that, ddxtanhex=exsech2ex.

Q: x? + 4x + 1 dx (x - 1)(x + 1)(x + 3)

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

Q: 51. x arcsec x dx J2

A: As this is a multiple question according to the Bartleby Answering rule, only first question is to…

Q: e* +e* cosh(x) = cosh(0) = ? 33- e* -e sinh(x) = → sinh(0) = ? 2

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Q: dx (25 – x2)3/2

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Q: 47. 27 fx-VI+x-4 dx × 7.60306

A: To show 2π∫13x-11+x-4dx≈7.60306

Q: d b) [ 4e*(In x) ] dx

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Q: . S(x + 1) · 3*². 32x+1 dx

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Q: 7s 2 2s-8

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Q: easy explanation of dx/dp of x= 10p * ((50-p)/p)^1/2

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Q: (iv) 15-22 dr. u = (v) S 15 · T/9 – x² dx. 9-z (vi) J +15 da. u=

A: iv) 15x2/sqrt(9-x2) v) 15 pi sqrt(9-x2) vi) 9x/(x2+15).

Q: Calculate 1 10 1 x² dx.

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Q: 1 2. dx (e2x – 4)*/2

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Q: 2 S₂² 1² 10² In I dz x² - 6x + 10 dz.

A: