V312-x2 31 dydx = %3D 1+x2+y2 Jo int062) ○ 푸n(31) 2 O In(962) O TIn(962) O 2nln(31)

Q: rya Cihanbeyli'dan

A: In general, the integral of a real valued function f(x) with respect to a real variable x on an…

Q: 5+(54 33)

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Q: 2) 4 ft V = (4/3) * * %3D TC V = (4/3) * n * V = (4/3) * n * O V ) feet

A: We have to find volume

Q: 78 7 -1 V7x +3 dx =

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Q: (2x+2x2-2x-1 dx x2 +x

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Q: x* +2x³ +4x+4 dx Evaluate: x*+2x' + 2x?

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Q: 3 LS 2dydx = 4 %3D О 20 30 О 30 О 15

A: Integrate the given double integration in given order. First Integrate with respect to y and than…

Q: / In (x? – x + 2) dx — х+2) dx

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Q: •2 1 dx o (2x + 1)3

A: ∫02 12x+13dx

Q: || 4 (x + 4) dx 0 4 2 = [= ² + 4x] 2 0² [( ½ + 4×4) − ( ½ + 4×0)] 2

A: The integral is given by ∫04x+4dx To determine: the value of the definite integral. Formula Used:…

Q: dz IV100-49(In z)?

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

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Q: 2) dx -

A: We will solve the integration by the substitution, t = ex

Q: S 8x dx/1+4x? (x = 0 to 1/2) * O In (2) In (6) O In (4) If y = (x? - 1)/(x² + 1) then dy/dx 2x / (x2…

A: Q-1 : I=∫01/28x1+4x2dx =∫01/2ddx(1+4x2)1+4x2dx (∫f'(x)f(x)dx=lnf(x)) =[ln(1+4x2)]01/2…

Q: Differentiate. y= In [(x+7)* x + 8)®(x +2)°] dx

A: Given y = ln(x+7)4(x+8)6(x+2)3

Q: y = In (3²×) + sec (Inx²) + tan¬1(In5x)

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Q: %3D Evaluate the fo llowing intergrals nest_x5 dn.

A: Solving by definite integral we have

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

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Q: 1 -dx (x + 5)(x² + 9)

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Q: 2 1 dx (3+5x}

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Q: 8. ²2(2x + 1) dx

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Q: : la (Iseclo & 0978357) + ten(.8097 Inlisecto) +ten lo)) Inlsec L6.809 78357+ ben (-80 In %3D ln…

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Q: Evaluate (from 1 to 3) ∫(x^2+2)/x dx

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Q: Evaluate x* (1-x3)0/2 dx Select one: 3*1*3*1 , T 8*6*4*2 2 O None 3*1*3*1, T 8*6*4*2 4 7*5*3*1, T…

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Q: 1 dx ½ x* -1 1 a) arctan -In 3+ 3 4 8 1 b) -arctan 3 --In 2+ 3 4 8 c) -arctan 3 +-In2+ 4 8 1 1…

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Q: 1+x Show that coth-1x = ; In () 2 x-1

A: We have to prove the given expression.