cos 4x cos 6r dx

Q: Evaluate the indefinite integral. x° cos (x) dx =

A:

Q: 8. Evaluate the integral. sin x xp. 4+ cos x

A:

Q: Evaluate the indefinite integral.

A:

Q: Evaluate the definite integral. π/2 1- cos(2x) dx

A: Answer:-(1) Given the integral,     ∫sin2x cos22x dx=∫44*sin2x cos22x dx…

Q: Evaluate the integral. |cos 7x cos 3x dx

A: The given integral ∫cos7xcos3xdx.

Q: cos xdx x

A: The given integral is,∫xcosx dx. ∫xcosx dx=x∫cosx dx-∫ddx(x)cosx dx∫xcosx dx=xsinx-∫ddx(x)cosx…

Q: Evaluate the definite integral: cosx (1 – 2 sinx)² dx

A: To solve definite integral we take sinx=z then we substitute all the values of x by z ,then we…

Q: Evaluate the definite integral. 4 x³cos (x4) dx

A: Our Aim is to evaluate the integral given below:-

Q: Evaluate the definite integral (if it exists) 1/3 -4 sin(x) dz cos² (1) If the integral does not…

A: Substitute cos(x)=t⇒-sin(x)dx=dt At x = 0, t = 1 At x=π3, t=12 The definite integral is: I=4∫112dtt2

Q: 1 x² cos(x³) dx CoS

A:

Q: evaluate the indefinite integral.

A:

Q: Evaluate the indefinite integral.  ∫sin(3x)cos(6x)dx=________________ +C

A:

Q: Find the indefinite integral ∫cos 6x dx

A: Given integral is, ∫cos6xdx We know that integration of cosine function is sine function So we can…

Q: Find the indefinite integral. ∫sin7 2x cos 2x dx

A: Consider the given integral ∫sin72xcos2xdx

Q: Evaluate the definite integral. 7 cos(xt/2) dt

A:

Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

A:

Q: Evaluate the integral 1—е-4а sin x cos 3xdx

A:

Q: 3 4. sin x cos xdx

A: These formulae are used while solving the question:

Q: Find the indefinite integral.

A: Given,∫2sinxcosxdxwe need to find the indefinite integral

Q: Find the indefinite integral ∫cos4 x dx

A: Given- ∫cos4x dx To find- The value of the integral. Formula Used- Using the reduction formula, we…

Q: Find the indefinite integral.

A: Given : ∫cos6xdx

Q: Evaluate the integral. cos /x

A: Given:          ∫cosx5x45dx Apply u-substitution: u=x5                dudt=15x455 du= 1x45dt…

Q: Evaluate the indefinite integral: S 9x“ cos (x³ + 6) dæ COS

A: Given,  ∫9x4cosx5+6dx  We have to evaluate the integral using substitution.

Q: Evaluate the definite integral: 2, 1 sin 0 + cos 0 +1

A: Given that: ∫0π21sinθ+cosθ+1dθ

Q: | cos (5x) cos (3x)dx

A: Given integral: ∫cos5xcos3xdx We know, cosαcosβ=12cosα+β+cosα-β. Also, ∫cosxdx=sinx+c.

Q: 3. 6x° cos (x*) dx

A:

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

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

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

A:

Q: Evaluate the indefinite integral. sin°(13x) cos“(13x)dx

A:

Q: Find the indefinite integral.∫ 8x cos2x dx

A: To integrate the indefinite integral: ∫8xcos2xdx

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 definite integral.

A:

Q: Evaluate the definite integral. 1 8 cos(nt/2) dt

A:

Q: Find the indefinite integral ∫ 2sin x cos x dx

A: The given integral is ∫2sin(x)cos(x)dx

Q: cos (6x) cos (3x)dx

A: Solution :∫cos6xcos3xdxNote…

Q: Evaluate the integral cos3 x + sin? х+1 dx cos² x (sin² x + 1)

A:

Q: Evaluate the indefinite integral. ∫cos(2x)(9−sin(2x))^(1/2)dx

A: Given:

Q: Evaluate the definite integral: 2 1 de sin 0 + cos 0 +1

A:

Q: evaluate the definite integral.

A:

Q: Evaluate the definite integral 15 sin (3x) cos(3x) dx

A:

Q: Evaluate integral 0 to pie sin 2 x cos 4 x dx

A: To Evaluate the integral given below:-I=∫0πsin2(x)cos4(x)dx

Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut…

Q: Find the indefinite integral.∫cos2 3x dx

A: To evaluate the indefinite integral ∫cos23x. Solution: The given integral is ,∫cos23x Multiply both…

Q: Evaluate the definite integral. • */10 cos 5x sin(sin 5x) dx

A:

Q: Evaluate the indefinite integral: [ 10 10e¹x cos(2x) dx

A: We will use simple Integration rules to solve this question.

Q: Evaluate the following integral. 3 4 cos °(5x)dx 4 cos (5x)dx =| 3

A:

Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx