y = [x + (x + sin2(x))ª]³ %3D

Q: -4 tan-(x) dx 1 Find (x + 1)2

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Q: Evaluate 6x² (x³ – 1) dx

A: Given,          ∫036x2x3-1dx

Q: Scosh(2tn(x)dx

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Q: solle (1+ cos x) dx Sin²x dx (x-2)√√x² 4 X +3 1

A: The given integral is a complex integral involving trigonometric, polynomial, and radical functions.…

Q: f cos4x dx

A: According to guidelines, we must answer only one of the multiple questions given.So I answered only…

Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: -(X-3) e dx

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Q: (c) [ √4x² X -dx

A: The given integration is

Q: (3) csc (3x) dx = A) In csc (3x) + cot (3x)| + C C)-In |csc (3x) - cot (3x)| + C B) - In |csc (3x) +…

A: We will solve this question by substituting the value of 3x.

Q: y = arccos /1 – x (1-x) 2 1 (1-x) 2 2 JA (1–x) 2 1 (1–x) 2

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Q: x-1 6)/2=0²+5² x² - 4x + 5 (1) (k) / zeaz² +b dz dx (i) (2x² – 5) sin x da (1) √²×² = √16x² dx

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Q: dx x4+16 Įtan-( x2 + c 4

A: Given that, ∫xx4+16dx

Q: Jp-1(x) – Jp+1(x) = 2J,(x), %3D

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Q: x +1 dx x(x² + 4)' (f) | #(2² + 4) ع و ش

A:

Q: x(x2 + 1)3 dx J-1

A: Consider the integrals, ∫-11xx2+13dx…

Q: dx x (1+a2)

A: As per our guidelines only one question can be solved. Please find the solution for 1st question…

Q: S2xcor (x²)dx 2 x cok J 2xxー3dx

A: Please see the answer below.

Q: (x+1) dx Vx²+2x+1

A: We have to calculate the integral of the given expression   the given expression is ∫(x+1)x2+2x+13…

Q: Find (|x+1|dx -3

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Q: (In(æ)) -dx; 1

A: I=∫1eln(x)4xdx Now substitute:   ln(x)=t

Q: f(sin (6x))³ dx

A: According to our guidelines, we can answer only one question or the first three subparts of a…

Q: 1 (x2+2x+ 1) dx -1 16 3 16 0 8 3

A: Given:The integral is

Q: Evaluate: 2 (1) (2-3)* dx 1 1 dx x + 5 (2)

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Q: 1. (D² - 4D+5) (e² sin x)

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Q: (x - 1)ex (x + 1)³ -dx

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Q: x-3 dx V16-x² (16-х2

A: Given,          ∫x-316-x2dx