of (e² 2-X Sin (2y)

Q: 1. Find the derivative 4 ln 2) ³ 3x³ sin(2x) 5x2+3

A:

Q: (5-)dx ー3 2人 がー。 Sin(x) d X

A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

Q: (sin°(3x) + sin²(3x)) cos(3x) dx

A: We have to find the indefinite integral.

Q: Show that J (x) = 2 sin x

A: By definition,                  . Now,  we need to prove the above statement by taking n = 1/2.

Q: x – sin 2x -dx x + cos2x

A:

Q: Evaluate sin dx

A:

Q: d? -(sin-'(x²)) dx2 2– 4x4 A 3 2– 2x4 B 3 2+2x4 3. 2+4x4 D

A: Here we have to use the concept of derivative

Q: 1 |Leax sin(bx)] eax [a sin(bx) – b cos(bx)]+ C * Using the formula dx = ах a² + b². Sie [e-8x…

A:

Q: sinx

A:

Q: f(x) = 1 – sinx

A: The given function is f(x) = 1 – sin(x). Consider some values of x, find the corresponding f(x)…

Q: #4 tan lun sec x dx 4.

A:

Q: 7/4 (sec² x – sin x)dx

A: 1. ∫sec2x dx=tanx 2. ∫sinx dx=-cosx 3.∫(u±v)dx=∫u dx±∫v dx 4. ∫abf(x) dx=F(b)-F(a), where ∫f(x)…

Q: sin(7x 2) dx cos2 (7x 2)

A: Let u=cos(7x+2)differentiate both sides w.r.t. x.Use chain rule for cos(7x+2)From there we get du/-7…

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

A:

Q: sin(x) Find S ( -1) dt).

A: We know that ddx∫a(x)b(x) f(t) dt = fb(x)·b'(x) - fa(x)·a'(x)

Q: 9. sec(1- x) tan(1 – x) dx

A:

Q: tanx sec² x.dx COS X √√2+ sin x dx

A:

Q: Tan(3(x+iy))

A: Given below the detailed solution