∫sin5(6x)cos(6x)dx

Q: TT cos 3x. cos 4x dx

A:

Q: Evaluate

A: ∫3cos22x dx factor out the constant term outside integral symbol. ∫3cos22xdx =3∫1cos22xdx=3∫sec22xdx…

Q: Find integral.

A: ∫-11xcos x dx

Q: fe²x+Inx² sin x² dx = +√e²x cos x² dx

A:

Q: tan(e-2x) In(cos(e-2*)) dx 5 S е 2х

A: We have to find out

Q: X COS 4x dx;

A:

Q: (cos 12/1- x2 1 1. Evaluate dx by using appropriate substitution. an

A: Evaluate ∫01cos-1x2121-x2dx

Q: 9) |x² cos(5x? )dx

A:

Q: 3.fe²x cos 3x dx

A: The given integral is ∫e2xcos 3xdx Integrate by parts  where first function is e2x and second…

Q: |3 cos 2.r dx 3.

A:

Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

A:

Q: Find integral.

A: We can integrate this expression by using integration by parts technique . From integration by parts…

Q: c- S cos(Inx).dx

A:

Q: e3 sin(5x) dx %3D

A:

Q: [(1+cos 3x) dx 3x)?dx + cos

A: Given: I=∫(1+cos(3x))32dx

Q: Find integral.

A: Consider the indefinite integral ∫-6x cos 5x dx Use the integration by parts to solve the indefinite…

Q: (x2 + 10x) cos(x) dx

A:

Q: 1 dx 6- cos²xsin²x

A: use trigonometric identity to prove the integral

Q: , Sercoszx *cos2x dx 3.

A: Since multiple questions are asked answering the first question, repost other question for solutions

Q: (a) Find dy for dx = In (3x – 2) (tan 2x) -

A: Explanation of the solution is given below..

Q: xV1- cos x dx

A: ∫0π2x1-cosxdx

Q: fxcos (x)dx COS

A: Assume u=x^2Find du

Q: S cos" (3x) dx CoS

A: Apply integration by parts

Q: Find ∫cos4 x dx.

A: To Determine: find the integral ∫cos4xdx Given: we have an integral  Explanation: we have an…

Q: 3x Cos 2x dx

A: Simple use integration by parts method.

Q: O cos 4x + (Dx + E) C) cos 4x + (Dx+ Am Cm 2:

A:

Q: e2x sin(5x) dx

A: Given,  ∫e2x sin(5x) dx

Q: 3) cos-1x. dx

A:

Q: x² cos(3 x) dx

A:

Q: 3-4K dx 4xス - oK t coS T

A:

Q: e cos (2x) dx

A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: 16 ) d du -1 cos и — 1<и<1 dx V1 – u² dx

A: As we know that the differentiation properties:- chain rule: ddx(f(g(x)))=f'(g(x))g'(x)…

Q: S cos²(2x)dx

A:

Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: dx = 3 cos° x/2sinx

A:

Q: (3x³ + 1) cos 3x dx

A: Given I=∫x3+1ex+1dx we can write it as I=e∫x3+1exdx Integrating by part I=ex3+1ex-∫ddxx3+1exdx+C…

Q: 10. cos (1/) dx

A: We have to evaluate the indefinte integral as shown below:

Q: dx 3 - cosx

A: To evaluate the integral

Q: 24 dx 1- cos (6x)

A:

Q: ∫(π/2) cosx dx 0

A:

Q: -3x cos (5x)dx

A:

Q: (6secx cos x dx :

A: Put secx = 1/cos(x)

Q: 4x Cos x dx b.

A: Given :

Q: dx 5+4 cos x

A:

Q: dy = 4 cos 4x dx

A: The given differential equation is dydx=4cos4x. We can solve this differential equation using…

Q: cos(3x + 2) dx

A: This is based on simple integral formula

Q: Se-3x cos(5x) dx

A:

Q: 4(cos- (-3x)) = dx

A: Given query is to find the derivative of cos-1(-3x).

Q: 6sin³ (2x) cos(2x) dx =

A: the given indefinite integral is: ∫6sin52xcos2xdx we have to find the value of the given indefinite…