9- for y = cosx is dx a)sinx b)sin2x c)-sinx

Q: Use the accompanying figure to show that 7/2 sin x dx sin 'x dx. 2 y = sinx 1 y= sin x 1

A: Given: To prove, The given graph is shown below,

Q: The value of 1 cos (tan ¹y) + y sin (tan¯¹y) cot (sin¯¹y) + tan (sin¯¹y) is......... +y¹

A:

Q: 2 Evaluate sin2x dx

A:

Q: If y=sin(sinx) show that y'' +(tanx) y''+y cos2x=0

A: we have to derivate 2 times then we will get result

Q: 00 -dx- ;, 0 < p <1. sin px 7. Show that 1+x

A:

Q: S./2(sec²x – cos²?x – tan²x)sin5xcosxdx -

A:

Q: Evaluate [/3 cos(x) In (sin(x)) dx T1/6

A:

Q: 8. What is dx (x2+8)3 9. What is {(Sin (tan (x*)} dx dy 10. What (x -2x +5)6 dx =一

A:

Q: Differentiate. y = In Sin x  - 1/2Sin2 x

A:

Q: 2) If y = cos x, what is y (®(x)?

A:

Q: 4. Evaluate sin (x) cos°(x)dx

A: To evaluate the integral

Q: 4si 2xcos²x dx sin2xcos2x

A: It is given that,     ∫4 sin2xcos2xsin2xcos2x dx We have to evaluate it.

Q: 6. Find Sin 5x (b) y = THcos 5x dx

A:

Q: 2- Evaluate sin x dx usin i. Trapezoidal rule ii. Simp

A:

Q: If y=a cos(sinx)+b sin (sin x) then y"+(tan x)y'+cos2x=0

A:

Q: So sin (x²) dx cannot possibly be 2. Show that the value of Lisin

A:

Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: Evaluate sin(x) 1+cos(x) -dx

A:

Q: Find for y = 5x sin x+ 10x cos x- 10 sin x. dx Dikdörtg

A:

Q: B) Find and itx sin 3z and y tan 3z dx2

A: Given: x=sin23z and y=tan3z If x and y are function of z, then using parametric differentiation we…

Q: what is y' of y=sin-1(cos x)

A:

Q: 5. Find y', if y 2cosx sin2x – sinx cos2x %3D

A:

Q: Show that x² + 1 cos{arctan[sin(arccot x)]} = V x² + 2

A:

Q: sin x dx V2-cos² x

A: Given : ∫(sin x/√2 - cos2 x) dx     ....(1)   Let cos x = t   Differentiating both sides w.r.t. x -…

Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: 1. Find of the trigonometric function: dx y=−10x + 3 cosx

A: Derivative of Cosx is -Sinx

Q: dy If y = tan-[ sec2(5x² + 1) csc-3 (cos 3x)]. Find

A:

Q: f y=sin(sinx) show that y'' +(tanx) y''+y cos2x=

A: Given that y=sinsinx To show that y''+tanxy'+ycos2x=0

Q: Compute / sin x •cos1º x dx.

A:

Q: Differentiate.  y =cos x /(1 - sin x)

A:

Q: Ni cos(2?)a. Cos | x dx

A:

Q: 7. x sin(x²) dx = Choose...

A:

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

A:

Q: Evaluate sin'y cosy dy. 2

A: This is a integration problem

Q: If y = sinx + cosx, then y" is - sinx + COSSX sinx - cosx COSX O sinx - coSX O sinx + coSx

A:

Q: We wish to compute sin° x cos“x dx,

A:

Q: 13T (b) sin-(sin(- -)) = %3D 11

A:

Q: 1-cosx 10. Find , if y = dx 1+cos x

A:

Q: If x is measured in degrees and f(x) = cosx, then d f(x) = − sinx

A: To write that it is true or not.

Q: 3. Use trigonometric substitution to evaluate Sx V9 – x² dx

A:

Q: 8. fx,y) = sinx cos y

A:

Q: 7. Find , if y = (1+ sin x) sin x dx

A:

Q: 2 2- Find if y = dx sin2x sinx

A:

Q: Show that n/2 sin x dx sin x + coS X %3D 4

A:

Q: . Evaluate S sin' 2x cos 2x dx

A:

Q: Sirzy-L652X こつinてy Cos? x CoSz seczK-

A: As per guideline we have to solve the 1st one. For another solution request again

Q: Verify that sin(x+y)+sin(x-y)=2sinxcosy

A:

Q: 13. Find , if y = sin x+cosx cos x dx

A:

Q: 04.) Show that y = (sin x +cos x) sec x = sec² x

A: Given inequality does not equal. See the attachment

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: