Evaluate the following 1, intergral from 0 to π/2 of (Cosx)/(1+sin^2x) dx

Q: Sinxtsina3x COSX+ COS 32 tan 22

A:

Q: 1//2 x8 Evaluate: sin" (1-2x')+ cos" (2axvi-x")} dx. 2x²)+cos* 1-x4 -1/V2

A:

Q: Differentiate y = (-6+sinx)/(x+cosx)

A:

Q: which of the following expressions is equivalent to: 3cot^2(t)/csc(t)   a. 3-3cos^2(t)/cos(t) b.…

A: This question is related to trignometry, We will solve it using trignometric identities.

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

A:

Q: (1+cos3x)² -dx sin23x

A:

Q: Express sin6 Oin terms of powers of sin Oonly

A: We have given,  sin6θ we have to express it in the term of sin only.

Q: /2 sin aVT-2 cos r dr /3

A: To find the given integration

Q: C- Find f' of the following: 1) √2x³-2² + In ² 2) 3xe³r+1 3) sin ¹(³).

A:

Q: (1-sin9x)²dx

A: To evaluate the given integral

Q: 2) (sir²³x.co³x dx 2 сотх Using power rule

A: To evaluate the following integral.∫sin2x cos3x dx

Q: The value of (-1+√3 i)^(1/3) is О 2 exp((2TU/7)^i ) 2 exp((2/3)^i) 2 exp((2T/9)^i) 2 exp((2T/5)^i)…

A: We need to choose correct option. As per Bartleby's guidelines we can solve only one question from…

Q: The absolute values is T₁, x T. = = Vr¹ cos² usinv + r¹ sin² usin¹ v + r¹ cos² v sin² v r²(cos² u +…

A:

Q: Verify: 1. (sinx – cosx)² – 1 = -sin2x %3D

A: We can verify the statement as below

Q: 2. Perform the indicated operations: (2D2 - 3D+5) (xcox x- 3) a. b. (D3+2D- 4) (e*sin x + e2x)

A:

Q: Ja (1 – sinx)3/2 (1+ sinx)²dx"

A: If , then the independent variable x is called the input of the function and the dependent variable…

Q: Differentiate  cos(t^2 - 6)

A: Given: cost2-6