d (e*co cos x) dx

Q: Evaluate e sin x cos x dx using Simpson rule with h 20

A:

Q: integral (cos(x)^1/2)dx

A:

Q: Solve the fllowing D.E +4y= cos x - sinx 2. CoS X %3D

A:

Q: 6. dx dy + cos.

A: Given: dydx=yx+cosy-xx

Q: {e* cos x , e* sin vx}

A: Given that: {excosx, exsinx}

Q: d а. dx (e* cos.x) cOs x

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: π/2 cos² x dx

A: This question can be solved using the concept of properties of definite integrals.

Q: Evaluate ]e * cos (7x) dx. Seex cos (7x) dx = %3D

A: Explanation of the answer is as follows

Q: e*(1-cos(x)) Exercise: Evaluate S dx.

A: Now evaluate the integral, ∫0∞ex(1-cos(x))xdx Take the minus as outside and it is concluded as…

Q: X COS 4x dx;

A:

Q: Find integral.

A: Given: Let I=∫2x cos x2 dx To Find: To evaluate the given integration.

Q: e) y = In(cos 4 x) f) y = sin² x y = In(cos(e3*)) g)

A: We can solve using first order differentiation (using chain rule)

Q: (a) J x cos x dx

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: nasin(hx) cos(bx)dx

A:

Q: x3 e. ; V1-x4 dx f. J sin x cos x dx

A: e.

Q: Find integral.

A: We have to find the integral I=∫cos(5x) dx

Q: (In x |cos(In x) dx X.

A: Find integration

Q: T Cos x-sin x Jr x² dx So

A:

Q: dy 11. = cos(In z) dx

A: The given data is: dydx=coslnx  To solve the differential equation.

Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

A:

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: The approximation of I cos (x²+5) dx using simple Simpson's rule is:

A:

Q: (b) I cos cos(√x + 3) dx

A: b Given integral is ∫cosx+3dx. We have to solve the given integral. Use formula…

Q: 2n 3. o (x + cos x) dx

A: Given :

Q: / sin(In |x|) cos(In |æ|) + dx COS -

A: We have to prove that the given integral is true.

Q: Take the derivative of this integral.

A: Given

Q: find dy. = cos (x2)

A: Given- y=cosx2 To find- The value of dydx. Formula used- ddxcosx=-sinx.

Q: x3 Vx-5 у сos x. sin?x cos3x - Find dy/dx of

A:

Q: Calculate L{e-# cos(2t – r)}

A: We have to calculate : Le-2tcos(2t-π) First we will calculate , Lcos(2t-π)…

Q: d (e* cos.x) cos x dx

A: ddx(excosx)=?

Q: .2. COS X sın.x.ços.Xdx

A:

Q: S S som'e dx cos'x

A: Perform integration

Q: 6. S sin*(e³*) cos(e³*) e³× dx

A:

Q: find dy/dx. ƒ(x) = x3 sin x cos x

A:

Q: x cos x² 2. X C0 dx -siny

A:

Q: 3x e COs x dx

A: To evaluate:∫e3xcosxdx

Q: Find Se2= cos(x)dx.

A:

Q: e cos (2x) dx

A: The given integral ∫e-xcos2xdx can be evaluated as, Let,  I=∫e-xcos2xdx By applying integration by…

Q: 7. Integral cos x dx sin x

A: This question is related to integration, we will solve it using given information.

Q: (d) ƒ COS √1+sin x dx, (e) cos(lnx) S dx Т

A:

Q: dx = 3 cos° x/2sinx

A:

Q: 2T COs x dx

A:

Q: Evaluate / e*cos(x)dx using integration by parts-

A:

Q: (x+sin x ) equals: dx O Cos X 1-cos x 1+cos x

A:

Q: 5. y = e-cos(x) dy dx

A:

Q: dx 5+4 cos x

A:

Q: Show that d/dx(ln kx) = d/dx(ln x), where x > 0 and k is a positivereal number

A:

Q: d le" cos.x) cOS x dx

A: Given ,  d/dx(ex cosx)  We know that  d/dx(uv) = u'v + uv'  Here ,  u = ex and v = cosx Then ,

Q: dx 3+2 cos x

A: The value of the given integral is 2√5/5 Arctan[√5/5 tan(1/2 x)] + c

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.