Apply Method of Substitution and evaluate : 6x° 192x7 dx 4 e +C, Where C is an arbitrary constant O 4 e6xº +C, Where C is an arbitrary constant e6x7 O 4 6x' + C, Where C is an arbitrary constant 6x8 e + C, Where C is an arbitrary constant

Q: (xCsc-)dナ×

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Q: Evaluate: S (= + e-5" )dx 1 5x 5 e-5x + C 4 4x 5 5e-42 5x 4 + C 4 5 5x 5 + C - - 4 5

A: The integration formula for ∫xndx=xn+1n+1+C.

Q: iGO 2. -/3 2/3 1/2

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Q: dr –DA V7 - 5r)

A:

Q: 4 6 Find 5 a ) da + C

A: Here we have to find,  I=∫-x3-4x+6x5-5xdx

Q: 4x+2y=2 1.) 2x+2y=4

A: The given system of equation is: 4x+2y=22x+2y=4

Q: oB coser sec 2o -

A: To find the value of 2cosec20°sec20°

Q: -8y-9(2y²)°(4y¬8)-2

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Q: Differentiate y = xV A. 2Vx (2+In x) В. (2+In x) VX C. 2vx 2V (2 – In x) | D. 2V (2 + In x)

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Q: Let z = 1+ i, simplify and write final result as x + iy.

A: The given data is: z=-1+i To simplify z5z¯8 and write the final result as x+iy.

Q: dx x²V(x² -4) Select one: a, 4x b. Vx? - 4) + C C. -Vx? -4) + C 2x d. Vx² - 4) 21 wwm + C 2x

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Q: xdx = ? (ах + b)(сх + d)

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Q: tion 10 37 = 1 8z + 9 or z:

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Q: dx S 4+922 Select one: O a.하tan-1(플) +c 3x O b.글tan-1() +c 2x 3 Ocsin-1(플) +c С. .흘tan-1(를) + c

A: Let I =∫dx/(4+9x2) ----(1)

Q: Evaluate: Зх — 4 dx J 3x² – 8x + 5 ..2

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Q: log2(3x – 1) = 3 Select one: О а. х-10/3 O b. x=1/3 О с. х3 -3 O d. x=3

A:

Q: Simplify. Assume all variables are non-negative. 12821ºy" – 5 15,,10 2ay0 + 4xy/2a°y° ,8,,5

A: we have to simplify the following

Q: SIMPLIFY THE EXPRESSION AND RATIONALIZE THE DENOMINATOR A) V-64 2 V 2 B) V16a*b 2 C) x'yl2 V 5.x?…

A: (A)      -645 = -265 = -25x2 5= -225 (B) 16a8b-2 = 4.a4b-1=  4.a4b (C) x7y12125x4 = x7y12125x4…

Q: cln5 18) Simplify S e 2x-3dx In2

A: To Determine: Simplify the given integral

Q: Evaluate 8u2v3 when u=1/2 and v=3/4.

A:

Q: Flxg) =(-3(3n7) ddy Ix²² 2. Pady

A: Case1: The second order partial derivative is simplified and written as, Calculate the derivative…

Q: Vz? – 25 4. -dz

A: use substitution method for solving the integral.

Q: Find the first four terms of the MacLaurin Series for sin x (cosh x), which is: 1+ 3! 5! 6!

A: MacLaurin series f(x) = f(0) + f'(0)/1![x] + f''(0)/2![x2] + .........