3π sin°Hcos* () da 5х. F sin ()cos* () . 4 0. 6. 6

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

A:

Q: 2 cos^2 x-sin x -1=0

A: 2cos2x-sinx-1=0⇒1-sinx-2sin2x=0⇒sinx=-1, sinx=12⇒x=3π2+2πn, x=π6+2πn, x=5π6+2πn

Q: 4. sin2 -x | dx. Use trigonometric groups. 2 X| cos

A:

Q: Verify the identity:

A: Our Aim is to verify the identity given below:-sin 3π2-x=-cos (x)  -(i)

Q: V3 sin(2r) = - Cos(2r)

A:

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

A:

Q: f/² sin() cos() sin() dx (Consider initially the first 2 terms)

A: We have to find the integral.

Q: 4-x2 dx. b) Use the trigonometric substitution x=2 sine to evaluate

A: Solving the problem by doing the substitution.

Q: */10 S sin(10z) arctan(sin 5x)dr = ? a)10(7 – 2) - 2 b)- 5 ) 5 (т — 2) T - 2 d)- 10 Ол - 10

A:

Q: Find integral.

A: The given integral ∫-8cosx-7sinx dx can be evaluated as, ∫-8cosx-7sinx dx=-8∫cosx dx-7∫sinx dx…

Q: Graphs of y = sin 0 and y = cos0 over [0,2π].

A: as we know the value of sin 0 is 0  so the given equation becomes y=0 which forms an x- axis only…

Q: th The n derivatives of sin'x is 4" cos(4x + 8 2 thi

A: False

Q: =) S sin6 x+cos6 x sin³ x cos³ x dx

A:

Q: 1 1+ cos x 9. 1- cos x || sin? |

A: We can verify the statement as below.

Q: 3 1 + cos² x –sin² x ) dx \csc³ x

A:

Q: Sin(6x+16)=Cos(3x) Round answers to the nearest hundredth (2 decimal places). What does X = ?

A: We can find the value of x as below.

Q: 2 - ƒ (t) = sin 0.5t + ²⁄t – 3 8 cos 32t

A:

Q: sin20 6. J 1-cos 0

A:

Q: sin x dx cos2 х

A: To integrate: ∫sinx dxcos2x Solution: Let t=cosx Differentiating both sides, we get…

Q: sin 2x (1 - 2 cos 2x)? dx 6.

A:

Q: 2 + 3 sin 2x The value of 3x dx equals 1+ cos 2x

A:

Q: 3 + cos 3x dx Evaluate sin 3x

A:

Q: 3. S sin³ 0 cos³ 0 d0

A: Given

Q: f/² () sin cos (sin (²) dx (Consider initially the first 2 terms)

A: To evaluate: ∫0π2sinx3cos4x3sin2x3dx Let I = ∫0π2sinx3cos4x3sin2x3dx We know that  sinxcosy =…

Q: cos(x) + s(3x)+ 25 cos(5x)+..) 4 Ans. + sin(x)- sin(2x)+ sin(3x)– ...

A:

Q: π/2 sin (cos() sin() dx (Consider initially the first 2 terms)

A:

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

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

Q: (b) cos x = 0.549

A:

Q: xy2-cos x sin x y' = ху?-со -cOs x sin У(1-x?)

A:

Q: 1. Find the period of the function y = 4 sin () - 3.

A: Concept Used: Consider y=A sin(B(x+C))+D Then Period=2πB radians

Q: Гcos 4 (x) dx CoS

A:

Q: f/² sin (3) 4x COS ; (**) sin (*) dx (Consider initially the first 2 terms)

A:

Q: π/2 0 sin³ cos Ode 0

A: This question is based on substitution method.

Q: •π 2 (sin³r)√1 (sin³ x)√1 + cos x dx

A: Given problem:-

Q: | cos(x) (8 + 4 sin²(x)) dx

A: Given Data: Integral Expression: ∫cosx8+4sin2xdx   Let, sinx=u Differentiate above equation.…

Q: cos x 3) 1+ sin x 6) [cosh vdv

A:

Q: cos 4x-1 dx is equal to cot x-tan x

A: Introduction :

Q: cos² 6x + sin 6x – sin³ 6x)ždx (Hint: factor out sin 6x first)

A: ∫cos26x+sin6x-sin36x12 dx=∫cos26x+sin6x1-sin26x12 dx=∫cos26x+sin6xcos26x12 dx…

Q: 4. sin+ cosx – 1 = 0 (L3)

A: Solution of problem (L3) 4

Q: sin 0 cos 0 d0. Jo 0,

A: Here we to solve definite integral.

Q: /² sin ( cos() sin() dx (Consider initially the first 2 terms)

A: To evaluate the value of given integral. Use the identities: 1.sin A cos B=12sin(A+B)+sin (A-B)2.sin…

Q: 3. y³x2 – cos- sin x² + esin x = 1 y DIFFERENTIATE THE GIVEN

A:

Q: cos 2x 17. cos x-sin x

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

Q: sin' 0 cos 0 d0

A:

Q: 1.5; cOs X dx sin³ x – 4 sin x

A: Note:- We’ll answer the first question since we answer only one question at a time. Please submit a…

Q: (* sin - 2y cos )d = 0. dr+2ry cosdy COS

A: Find the attachment

Q: cos (x2 + 3x +5 ) COS

A: Solved below

Q: 50 a) Sin 25 b) Sin- Sinl0 =? Cosl0° Sin 5° = x, Cos 5° =y Sin 105° - ?

A:

Q: x) - 0.5 cos(x)) on the

A: Given as, f(x)=e-x3.2sinx-0.5cosx in the interval [3, 4].