1-cos? x dx 3. sin x

Q: cos(2x) sinh? (x) dæ COS

A:

Q: | cos?x tan³x dx

A: To evaluate the following integral

Q: 2. 4 sin? x cos'x dx

A: To evaluate : ∫-π2π2 sin3x cos4x dx

Q: 6x? sin x' dx

A:

Q: 2 -3 sin x 2. Find + 4e*+3 dx. cos? x

A:

Q: Evaluate Sz cos“ x sin? x dx

A:

Q: S cos³ x sin? x dx

A: Let, I = ∫cos3xsin2xdx ⇒I = ∫cosxcos2xsin2xdx ⇒I = ∫cosx1-sin2xsin2xdx ⇒I = ∫sin2x-sin4xcosdx

Q: a dx =? (1+sin x)sin x

A:

Q: | cos'x cot x dx 3.

A: To integrate the given.

Q: 3 sin x dx 3. | COs cos? x

A: Our Aim is to solve the integral given below:-I=∫sin3 (x)cos2 (x)dx -(i)

Q: cos x | = -dx =? 2 cos x+ sin x+3

A: Integral.

Q: cos? 2 2 dx sin -1 2

A:

Q: P1: |x? cos-1 x dx X* cos

A:

Q: 3-(cos x)y' =yCv-1) sin x.

A:

Q: tan? x (1 + sin² x) dx cos? x 4 cos (a) x2 dx x3 sin3 (-) | V4 - V4-x dx

A: We have to solve the integral.

Q: sin? x cos x dx 3 x COS

A:

Q: -1-x-² + x¯ 14. -dx- X' 15. CSC x (csc x – cot x) dx 2+3 sin? x -dx sin? x 16.

A:

Q: cos x dx 1+2 sin x

A:

Q: sin x dx 1+ cos'x a/2

A: Consider the following integral:

Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: Evaluate the integrals

A:

Q: W (1, sin x, cos x) =

A: Use formula for the wronskian is determinent form.

Q: sin 2x - dx costx + cos?x

A: Given

Q: sin x dx cos? x + cos x 23.

A:

Q: (40 sin (x) – 39 cos (x)) dx =

A:

Q: 2 cos? x – sin x – 1 = 0

A: We need to solve the equation 2cos2x-sinx-1=0.

Q: sin x dx 2. cos x 4

A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: d-) sin x cos??x dx =) 2. d-) Sin`x cos

A:

Q: 2 sin (x) dz 4 cos? (x) + 2 cos (x)

A: The given integral is ∫-2sinx4cos2x+2cosxdx. Determine the value of integral by using partial…

Q: 16. tan?x cosx dx 3 X Cos'x dx

A:

Q: sin? x cos“ x dx. 4

A: We have to find integration of sin²x.cos⁴x

Q: S cos x dx. sin? x Evaluate А. - sec x + C В. sec x + C С. csc x + C D. cSc x + C

A:

Q: COS x dx sin? x 3.

A: Given: I=∫cosxsin2xdx For evaluating given integral, we substitute sinx=t…

Q: 15. Evaluate Sin x cosx dx 2x Your answer 16. Evaluate se 3cos 2x Sin 2x dx Your answer

A:

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: (2 cos x–sin x )" dæ sin x

A: Given: I=∫2cosx-sinx2sinxdx   We know that; The trigonometric identities; 1). sin2x+cos2x=1 2).…

Q: 27 sin x cot xcosx dx = ? ^.cosx

A:

Q: sin x cos x dx 4

A: We have to evaluate the given integral.

Q: 2 sin? x- cos x – 1= 0

A: Given : 2sin2x - cosx - 1 = 0

Q: sin x dx - 1 + x? 22.

A:

Q: 3. COSX + sin x +1 dx 2 cos?x (sin?x+1)

A:

Q: sin x dx 7+ cos x 2

A:

Q: sin“ æ cos? x dx

A: Let's find.

Q: S sin? x dx Evaluate 1+cos x

A: ∫sin2x1+cosxdx

Q: 3 dx = cos? 3.x

A: Please see the answer below

Q: 6. sin x cos°x dx

A: We need to evaluate integral.

Q: COS X dx sin? x – 3 sin x + 2

A: Consider the given indefinite integral

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.