Evaluate the integral / (6+ sin t)" cos t dt using the substitution u = 6+ sin t. %3D (6+ sin t)ª cos t dt = +C

Q: Evaluate the integral. Зп /4 6 sin (x) cos (x) dx Jn/2

A:

Q: The suitable substitution to evaluate the integral cos (2x) dx is csc (2x)

A:

Q: The suitable substitution to evaluate the integral tan (2x) dx is 4 C cos“(2x)

A: Explanation: Given that, ∫tan52xcos42xdx

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: 3 Which of the following is equal to sec ² x tan³x dx to obtain the correct indef inite integral?

A:

Q: Evaluate the integral: integral from 0 to Pi/2 of cos^3(x)*sin^(2/3)(x)dx

A:

Q: Evaluate the integral •5 sin(t)dt 6.

A: Given:∫65sintdt

Q: Evaluate the integral. 4tm 2 sin(2t) dt

A:

Q: Evaluate the integrals

A:

Q: evaluate the integral 6x cos (5x) dx

A:

Q: 1 x² cos(x³) dx CoS

A:

Q: Evaluate the integral. (x+1) cos(6x) dæ

A:

Q: 2n do 3 + sin 0 + cos 0

A: Given integral is ∫02πdθ3+sinθ+cosθ Given z=eiθ We know that  eiθ=cosθ+isinθ e-iθ=cosθ-isinθ So…

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

A:

Q: Evaluate the integral. dx 9-x2 O sin-1 cos 1*+c O cos Cos 7 O 2 2 cos'1를x*C Sin 1

A: SOLUTION-

Q: Evaluate the integral. 1/20 cos,10x sin 10x dy dx

A:

Q: Estimate the error if cos t² is approximated by 1 integral , cos r² dt. 4! in the 2

A: We have,

Q: Find the integral t5 cos |dt using the substitution u = t6. Enclose arguments of functions in…

A:

Q: Evaluate the integrals sin2.x -dp- J(5 + cos2.x) e) 3

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

Q: Evaluate the integral: 2 So sin(4t - u) du dt

A:

Q: Find the indefinite integral ∫ sin 2t cos 9t dt

A: Given: ∫sin2tcos9tdt

Q: Evaluate the integral: S/2 sin(4t - u) du dt

A:

Q: Calculate the integral I = S* sin(2x)v1+ cos²x dx

A:

Q: Evaluate the integral. ∫√(1 - cos x dx)

A: We have to evaluate the integral: ∫1-cosx dx We know the trigonometric identity:…

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

A: ∫0πcos42t dt

Q: Evaluate the integral.  integral  cos 2 x sin 2x  dx

A: Given integral to evaluate  ∫cos2xsin2xdx substitute sin2x=2sinxcosx ∫cos2xsin2xdx=∫cos2x2sinxcosxdx…

Q: Evaluate the integral. cos(5 x) dx

A:

Q: Evaluate the integral. [ 4 cos4 6x dx

A:

Q: Evaluate the integral.

A: Given,         ∫coslnxxdx

Q: Obtain a formula that expresses the integral [cos". cos" x dx

A:

Q: Evaluate the integral. cos 2x dx

A:

Q: cos 3x cos 4x dx

A: ∫cos3xcos4xdx here we use formula  2cosxcosy = cos(x+y) +cos(x-y) here x = 4x      y = 3x

Q: Evaluate the integral/ cos'x sin x dx using the substitution u = cos x. cos"x sin x dx =

A: ∫cos11xsinxdx

Q: - Evaluate the integral: S cos3x/sinx dx.

A: Explanation: Given that: ∫cos3xsinxdx Concept used: 1. sin2x+cos2x=12.∫xndx           =xn+1n+1+C 3.…

Q: Evaluate the integral / cos (r) sin(x) dx 16 COS using the substitution u = cos(x). ,16 cos" (x)…

A: This question is based on indefinite integral.

Q: Evaluate the integral. sin +5 dt

A:

Q: sin° (2æ) cos(2æ)dæ

A:

Q: I co cos³ x sin x dx

A: Given problem is ∫cos3x sinxdx. Evaluate the integral. As we know the integral formula:…

Q: Evaluate the integrals

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

Q: evaluate the Cauchy principal value of the given improper integral. cos 2r dx x² + 1

A: We have to find the Cauchy principal value of the improper integral. First we have to write the…

Q: Evaluate the integral / 'cos(æ – In x) dx dy.

A: We need to change the order of double integral

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

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

Q: Evaluate the definite integral. sin(4t)dt 0.

A:

Q: [cos' 2xsin' 2x dx

A:

Q: Use the substitution formula to evaluate the integral. 27 3 cos2 x sin x dx 1/3

A: Given that: ∫π/32π3cos2x.sinxdx

Q: o integrals are equivalent and (b) calculate 2. | sin(t) dt = sin(x + 1) dx %3!

A:

Q: Evaluate the integral

A: The given integral is: ∫3x1-cosxdx To evaluate this integral, consider x=t  .......(1). On…

Q: Evaluate the integral.  integral cos  - 4  x  dx

A: