1/4 cos² (4t – -) dt

Q: ) Evaluate the integrals of the following; i) ,( + cos x)dr 1+cos 2t dt ii) 2 iii) [(3x +2)(3x?…

A: Given that:                           NOTE: As per our answering guidelines, we can only answer 1…

Q: Evaluate the following integrals sin³ (x) cos³(x) dx

A: Given ∫sin3xcos3xdx

Q: Use the substitution formula to evaluate the integrals ∫ pi over 4 at the top and 0 at the bottom…

A:

Q: Evaluate the integral 1-e-4x sin z cos 3rdr

A: According to the given information, it is required to evaluate the integral.

Q: 5tan 2x -dx sin²2x-1 8.

A: Put tan2x=t and using integration of ax dx =ax /loga

Q: Find the indefinite integral ∫(ti + 3j) dt.

A:

Q: Evaluate the following integrals Jécos Cex)dx

A: The given integral is ∫excos2xdx. Calculate the integral by using by parts method. Here, we use…

Q: Write the integral as a sum of integrals without absolute values and evaluate: Leis | cos x | dx =…

A:

Q: Evaluate the following integrals.

A:

Q: Evaluate the integrals.∫cos 3t / (1 + sin 3t)dt

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Q: Evaluate the following integrals. 13 1 sin²x -dx

A:

Q: vi. S cos(3 Inx)dx

A:

Q: evaluate the integral fromn 0 to pi/2 (cosx)^3

A:

Q: Evaluate the following integrals. Sen³(/x) dx x,

A:

Q: Evaluate the following integrals S²z sin³ x cos20 x dx 2

A: We have to evaluate the integral ∫-π2π2sin3x cos20x dx.

Q: Evaluate the following integrals.

A: The given integral to evaluate ∫π3π2sin2xesin2xdx     To evaluate this integral first substitute the…

Q: Evaluate the integral from 0 to pi: ∫cos4(2t)dt

A: ∫0πcos42t dt

Q: Evaluate the integral. ∫0 π Cos42t   dt

A: Given: I=∫0πcos42tdt we know that 1+cos2θ=2cos2θ similarly, cos22t=1+cos4t2 now substituting value…

Q: Evaluate the following integrals.

A: To integrate: ∫0π2e-3xcosxdx Use integration by parts:      ∫u dv = u v - ∫v du Let   u =cos(x)…

Q: Evaluate the integral. ∫e-θ  Cos 2θ dθ

A: Given ∫e-θ  Cos 2θ dθ

Q: Evaluate the following integrals and check by differentiation: 1. J cos 4 x dx. 2. J 5 sec2 2x dx.…

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Evaluate the definite integral. 1 6 cos(at/2) dt

A: Given:        ∫016cosπt2dt Taking constant out      =6∫01cosπt2dt substitute u=πt2…

Q: Evaluate the integrals ∫cos 2x dx

A: We have to evaluate the integral: ∫cos 2x dx In this case we do use substitution method so assuming,…

Q: Evaluate the integral of the following. 1 | sec*-xtan* 1 2* dx

A: We will evaluate the integral as following.

Q: tan 2x dx 2. S (3+ln cos 2x)6

A:

Q: Find the indefinite integral ∫(4t3i + 6tj − 4√tk) dt

A: We have to find indefinite integral: ∫4t3i+6tj-4tkdt We know the formula of integration, ∫xn…

Q: Evaluate the following integrals. a)S sin 9+cos²0 de Coso x25-x2

A: see 2nd and 3rd or 4th step.

Q: Evaluate the integrals ∫7 cos7 t dt

A: We have to evaluate the integral: ∫7 cos 7t dt Solving by substitution method, Assuming, z=7t…

Q: Evaluate the integral: a cos (4) dx x² sin² ( ÷) where a is a nonzero constant.

A: Given,  ∫  a cosaxx2 sin2axdx

Q: Solve the following integral by using the Tabular Method. (a) x² cos 4x dx (b) sin 3x cos 4x dx 2.

A:

Q: Evaluate the integrals ∫cos t/1 - sin t dt

A: Given :           ∫cos t1-sin tdt

Q: Evaluate the integrals

A: Our Aim is to evaluate the integral given below:-∫-π3π3 sin2(t) dt.

Q: Evaluate the integrals below:. cos3x .dx, b) elsin3x) – 1). a) 0.

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Q: • 16. sin² 0 cos° 0 d0

A:

Q: Ssin (x) cos (x) dx

A: We need to integrate∫sin3xcos3xdxusing propertycos2x=1-sin2x

Q: Evaluate the integral. TO 9t sin(7t) dt

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

Q: arctan(3r) da =

A:

Q: 1.4. S sin5xsin3xdx Ans:

A: Note: We shall answer the first question only as the exact one is not specified. Please resubmit the…

Q: Evaluate the integrals ∫cos2 x dx

A: Given:∫cos2 x dx

Q: Evaluate the following integrals.

A: Since, our aim is to evaluate the integral given below:-I=∫(cos-1 x)2 dx  -(i)

Q: vi. Sz sin³ x cos20 x dx 2

A:

Q: Evaluate the definite integral. 4 cos(xt/2) dt

A: We need to evaluate the following integral. So,            ∫014cosπt2dt=4·∫01cosπt2dtLet…

Q: Evaluate the definite integral. 9ti +3t'j + Vtk) dt

A: The given integral,          ∫-119t i+3t3 j+t3kdt

Q: Evaluate the following definite integrals. (а) |2t – 4| dt. /- (b) cos(3x) dx. (c) d.x.

A: You must have an idea about definite integral to solve these questions. In these types of integral…

Q: Evaluate the following indefinite integrals. xª + 6x² )1 ا( o - x +4 1 a) / * sin(®)dr r3 + 4x |

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Q: [sin(In x) + cos(In x)] dx 2.

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