4 cos () dx 10. x³ sin3

Q: 3 cos(x)³ dx

A: We need to evaluate integral.

Q: 2x + x2 cos(x) + 1 -dx x2

A:

Q: 6) | cos(/x). dx

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

Q: 1 S cos³ 3x sin' 3x dx

A: The given integral is: I=∫cos33xsin43xdx   ...1   We know that; The Power rule: ∫xndx=xn+1n+1+C

Q: Evaluate the integrals

A:

Q: S cos³ x sinxdx

A:

Q: 1 cos(sec-x) dx 2/V3 xVx²-1

A: Let's find.

Q: 2cosx dx 2 5- fn 1+(sinx)? π

A:

Q: x – sin 2x -dx x + cos2x

A:

Q: S sin 2x sin 4x dx 7.

A:

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: /2 sin 2x dx Jo 3+cos (2x)

A:

Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: 1-cosx Sin 2x dx

A: Given:  To Find: To evaluate the given integral.

Q: = In(x² + y- sin sin-1 a2.. ||

A:

Q: 2. S(cos4x – sin*x) dx

A: we know that , a 2 - b 2 = ( a + b ) ( a - b ) And cos( 2x ) = cos 2 (x) - sin 2 (x )

Q: (b) ( cosx) = -sinx dx

A: To Determine: find the derivative of cosx Given: we have a function cosx Explanation: we have a…

Q: 5. | cos(7x)dx

A:

Q: c- S cos(Inx).dx

A:

Q: S cos 4x cos 3x dx

A: We need to evaluate integral.

Q: S16 sin²x cos²x dx ´x cos-x

A: ∫ 16sin2x cos2xdx

Q: (#6) S sin³ (x)dx =

A: Given  Rewrite  sin3x=  sin2x * sinx  Use Pythagorean identity sin2x + cos2x=1

Q: S cos³ 3x dx со

A:

Q: 2 | (sin³x cos x + sinxcosx)dx 7/2 π

A:

Q: 1. cos x sin“ x dx

A:

Q: 1 dx 6- cos²xsin²x

A: use trigonometric identity to prove the integral

Q: dx 6. [- xIn x sin 5tdt 7. V1+ cos 5t

A: Given that the integral ∫dxxln2x. Give suitable substitution to simplify the integral. Let u=lnx,…

Q: | e3* sin(2x)dx

A:

Q: x³ cos(x²) dx = k – | x sin(x²) dx

A: As per Bartleby guideline for more than one questions asked only first is to be answered please…

Q: Evaluate the integral.

A:

Q: S sin-1 3x dx

A:

Q: 一2 sin2x dx

A:

Q: S(sin 29x + 6e0 +5 cos 5x+)dx

A: Given integration ∫sin29x-x5+6e6x+5cos5x+x5dx  Now we break it and we get   ∫sin29xdx-…

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: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: 8e cos 2x dx csc(x) sec(x)

A:

Q: S sin (3x) 1+cos² (3x) dx

A: Given integral ∫sin(3x)1+cos2(3x)dx The objective is to evaluate the integral.

Q: 5: - S cos(lnx).dx

A:

Q: 3) cos-1x. dx

A:

Q: S sin³ (2x)cos² (2x)dx

A:

Q: 2 sin x cos8x dx

A: Given- ∫0π2sin6xcos8xdx To Find- The value of the above integral. Identity Used- The value of the…

Q: 2. S sin*(2x)cos²(2x) dx 4

A:

Q: S cos³ 3x dx

A:

Q: 24 dx 1- cos (6x)

A:

Q: 5. S sinxtanx-cosxtanx dx sinxsecx(sinx+cosx)-5

A: Dear student, as per our rule we can only solve one question in one session. Please post the other…

Q: 1. cos x sin* x dx

A:

Q: (1) S cos(7x + 5)dx

A: We need to integrate the given terms.  For this we will use substitution method.

Q: 5. / x² sin 3x dx

A: We have to find the indefinite integral

Q: cos(3x + 2) dx

A: This is based on simple integral formula

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.