Cos O 0 = [2] COS %3D

Q: TT cos 3x. cos 4x dx

A:

Q: х cos 2x dx

A: First apply u-substitution, u=2x. Thus integration becomes,

Q: cos x -1 dx = ? 22n (a) (-1)". (2n) (2n)! 8. (b) (-1)". 22n+2 (2n+2).(2n+2)! n=1 n=1 2 19

A: Here we have been given the integral  ∫02cosx-1xdx

Q: Cos e Csc 0+1 by Csc e+1 csc e-1

A:

Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: 5. y= cos™ -1 = COS (2²)

A:

Q: COS X 1. S 7+cos 2x

A:

Q: COS Cos 3x dx CoS

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: 78 |x cos(nx)dx

A: As per guidelines we will solve one question

Q: 3.fe²x cos 3x dx

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

Q: 14. S4 cos (-3x + 2) dx

A:

Q: cos(15x) cos(4r) dx

A: Given∫cos(15x)cos(4x)dx  ...(1)For the simplification apply the trigonometric identitycos(a…

Q: Evaluate the integrals

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

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

A: Given: I=∫(1+cos(3x))32dx

Q: cos-1(x) dx

A:

Q: Cos %3D 6.

A: To find the value of trigonometric function

Q: 6. cos-1 Vx dx

A:

Q: 1+cos 4x dx 1-cos 4x Evaluate

A:

Q: Cos^3(3x) dx

A:

Q: S cos 2x dx COSX

A:

Q: Cos 4x S cos 2x-sin 2x dx

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: S cos(7x) cos (18x)dx

A:

Q: cos(x) dx 4.

A: Given: ∫14cosxxdxat n=8

Q: S cos" (3x) dx CoS

A: Apply integration by parts

Q: A/ 10 Evaluate 4/1+ cos 10x dx. A/ 10 4/1+ cos 10x dx =

A:

Q: Cos3 cos³x S dx 1+ sinx

A:

Q: cos (4x)dx

A:

Q: COS Cos($2X +1) dX

A:

Q: 3 1. cos x - 5 dx -3

A: The given integral is ∫-34 cosx-3x5dx. Evaluate as follows.

Q: cos(3x) dx

A: answer is in next step

Q: x5-3 14. S4 cos (-3x + 2) dx

A:

Q: Steps S 10sin(2x)cos(2x)V cos (2x) – 5 dx

A:

Q: Гcos 4 (x) dx CoS

A:

Q: cos æ dx =| 0.53

A: We will solve it by substitution

Q: d. cos 3x = 0 e. tan 4x - 1 = 0

A: Given:- d.  cos(3x) =0  e. tan(4x) -1=0 To find:- Solution of given equations

Q: x° cos (3x) dx X COS

A: Integral by parts:∫ uv dx =u∫ vdx -∫(dudx∫vdx) dxI=∫ x6 cos(3x) dxu=x6, dudx=6x5v=cos(3x), ∫ vdx…

Q: sin x dx 2 (1+ cos x)² 12.

A:

Q: sin ф dp cos? ф 4x 3x + cos (2x² + 1)| dx tan? x (1+ sin“ x) dr cos².

A: Note: as per our guidelines we are supposed to answer only one question if there are multiple…

Q: ∫cos^4 2x dx

A: Please see the answer in step 2

Q: 2. cos x dx - 67

A:

Q: | cos x dx ile ( Jcos x| dx

A:

Q: cos' 0 d0

A: To solve:

Q: Cos de 1-Sin e

A: To evaluate: I=∫cos3θ1-sin θdθ=∫cos2θ×cos θ1-sin θdθ=∫(1-sin2θ)cos θ1-sin θdθ=∫(1-sin θ)(1+sin θ)cos…

Q: X cos-dx x cos 3.

A:

Q: 2 Sinx Cose - Cosx eE 2/CoS 3% t Cas ex

A: I am attaching image so that you understand each and every step.

Q: [cos 3x cos 4x dx

A:

Q: 1) cos? 2x dx cos ? 2x dx

A:

Q: cOs X dx 7+cos 2x

A:

Q: 6sin³ (2x) cos(2x) dx =

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

Q: d) cos (5æ) cos(7r)dx e) S tan e sec“ rdr

A: we have to find the following integral

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.