cos²(x) dx 1+ sin(x) Evaluate:

Q: 3. Sin x dx 3- COS

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A:

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A: We have to find out

Q: sin x dx 4 3 Show that -

A: The integration can be written as;

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A: By Bartleby policy I have to solve only first one as these are all unrelated & lengthy…

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Q: Consider ∫ x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)?

A:

Q: sin(x)ecos dx COS X 8.

A: Given,

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Q: = e* +cos x+-sinx+- 21 +x" Find general solution

A: we have to find the general solution of given differential equations

Q: cos^2ydx+(1+e^-x)sinydy=0

A: The given differential equation is cos2ydx+1+e-xsinydy=0.

Q: cos x dx 1+2 sin x

A:

Q: |(sin 3x + cos 2.x)* dx

A: Given integral is ∫sin3x+cos2x2dx

Q: fo (9 cos(x) – 2 sec²(x)) dx

A:

Q: dx is equal to 1+cos x - cotx + cscx + c -tanx + cscx + c O cotx + secx + c O cotx + cscx +c

A: To find: ∫dx  1+cosx

Q: cos2r – sin2x cos2x F(x) +C• What is Fx)? For dx= 3 cosx - sinx

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Q: (sin'x-4)dx- tanx dy=

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

A:

Q: sin x dx 2. cos x 4

A: For the given Definite integral is evaluate by using change of variable method as shown below

Q: cos' x dx 1-sin x

A:

Q: coS x - 3 7. 2 + sin x dx

A: Follow the procedure given below.

Q: Find the derivative.

A: given,         y=cos-1t-1-sec-1t

Q: sin x dx 2- cos²x CoS

A:

Q: cos x sin x dx 4. sin 2x cos 2x dx

A: In some cases indefinite integrals can be converted to standard integrals using an appropriate…

Q: | cos²x dx 1- sinx cos-x

A: Given. f(x) = cos2 x/(1-sinx) We need to calculate the indefinite integration of above function

Q: x³ cos(x²) dx = k – | x sin(x²) dx

A: As per Bartleby guideline for more than one questions asked only first is to be answered please…

Q: Find integral.

A: Here given integration I=∫cos x-4/3sin x dx Consider cos x=t-sin x dx=dt

Q: Cos 4x S cos 2x-sin 2x dx

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: COs x V4 – x dx. sin x

A:

Q: Cos ax sin 2x x' sin mx 13. dx, a>0 14. dx 15. dx, a>0 1+x

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: sin x (cos x + 4) dx 1+cos²x

A: SOLUTION-

Q: sin x dx TT cos2 x + e cos x

A:

Q: y = sin x cos6x x CO

A: Introduction :

Q: d dx [3 sin³ (tan √x² + 3x²)] d [(x² + 1) cotx dx 3 cos x csc x

A: 1) Given ddx3sin3tanx2+3x2. Find value of differentiation of the function. 2) Given ddxx2+1cot…

Q: sin x dx 2+ cos x 4. - T

A:

Q: 3. sin x cos x dx

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

Q: x° cos (3x) dx X COS

A: Integral by parts:∫ uv dx =u∫ vdx -∫(dudx∫vdx) dxI=∫ x6 cos(3x) dxu=x6, dudx=6x5v=cos(3x), ∫ vdx…

Q: sin x dx 2 (1+ cos x)² 12.

A:

Q: The solution of Sinx dx - x sinx+ y cosx= 0 is (y– 1) sinx =? A C-x sinx B C+ x cosx с-х cosx D C+ x…

A: sinxdydx-xsinx+ycosx=0sinxdydx+ycosx=xsinxddx(ysinx)=xsinx

Q: sin x dx + x cos² x 5.

A: Integral of a function is the anti derivative of the function, meaning area of the graph of the…

Q: x' cos“ x sin x dx. (л- Злх + 3х Evaluate: | -

A: For the solution of the problem follow the next steps.

Q: sin x cos x dx 4

A: We have to evaluate the given integral.

Q: d -(cos(x² – 2x)) dx Evaluate

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Q: Y+y-cos x + 3 sin 2x

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = sin2 (x - 3y)

A: Given: fx,y=sin2x-3y  To find: ∂f∂x,∂f∂y

Q: Cos x dx In x (sin x) () - dæ. (In x)²

A: We have to find the value of the integral : ∫cos(x)ln(x)dx-∫sin(x)1xln(x)2dx

Q: cos2x – sin2x cos2x F(x) +C. What is F(M)? For dx%3D cosx – sinx 3

A: A detailed solution is given below

Q: cOs X dx 7+cos 2x

A: