cos2x a) -.dx,b) xe*. dy Į sin2x. [In(sin2x)]² + sin2x 0.

Q: (f) / sec“ y dy. tan5

A:

Q: 11. cos4x-cos2 dx sin4x-cos2x

A:

Q: d/dx -2(sin2x+cosxsinx)

A:

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: sin 3x dx 3-10cos3x 10.

A:

Q: Show that Cosx dx 9- Sin 3D

A:

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

A:

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: sinx

A:

Q: Solve cosx dx + (sinx)y=1 Select one: O ay sinx + ccosx O b. y = 2sinx + 2cosx + c O c. y = sinx –…

A:

Q: Integrate f(cos x)e*+sin xdx B. e-sinx +C A. -et+sinx + C c. ettsinx + C D. e+sinx C

A: Note:∘ddx(sinx) = cosx ∘ddx(a) = 0                                         where a is constant∘∫etdt…

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

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: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Find Sor y. Sin X- xp X+1

A:

Q: tanx sec² x.dx COS X √√2+ sin x dx

A:

Q: y = Secx ( sinx+ Cosx)

A: Given, y=secxsinx+cosx And we have to find the dydx.

Q: @) find 16+9X 2

A: Question (1) - Let the given integral be y - y = ∫043 316+9x2dx          Taking 9 common from…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.