xe* dx V1+e* Evaluate :

Q: 2 sinx d x V1-2cosx

A:

Q: d Using the Chain Rule Twice Calculate 1+ Vx2 + 1. dx

A: Given function is 1+x2+1

Q: 2 dydx + f(x, y)dydx

A:

Q: = - 1) ex²-x dx x. Use the substitution method to rewrite the function in the integrand, (18x – 1)…

A:

Q: evaluate the integral.

A:

Q: Determine dy for y=VX2+1 . dx2 alx

A: Obtain the second derivative as follows.

Q: 4 dx. x'V16-x (c) By using x= 4sin (0), find

A: We have to find integration by substitution

Q: integrate by parts f(x)=x2e2x dx

A: f(x)=x2e2x dx To integrate the given function by parts.

Q: 3) S x tari'x dx X,

A:

Q: sinx e V1-x2

A:

Q: 1. S(3 – 2x – x*) dx

A:

Q: - $x² cos(x³) dx

A:

Q: Find and simplify whenever possible. dx y =cosh3 2x – cosh 2x - 3

A: Given y=13cosh3(2x)-cosh2x We need to find the value of dydx dydx= ddx13cosh32x-cosh2x =…

Q: dy when x = 0, dx Find

A:

Q: Integrate (sin1/2)(x)dx

A: The given integral is ,∫sin12x dx=∫sinx2  dx

Q: Evaluate x dx Sin odo 2-X

A:

Q: Evaluate (a) 2. Sinx+ X=X (1) Sinx dx T+x²

A:

Q: x²dx 1. J4 –x*

A: NOTE- ''As per Bartleby guidelines we have to solve only first question please repost other…

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

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: sech - x dx , 0 < x < 1

A:

Q: x'dx √√x(1-x)

A:

Q: Sx'sinx 3. 「メさ。 2 X X e

A: solution:-(1)∫x3sinx dxapplying intgration by parts=x3∫sinx dx-∫ddxx3∫sinx dxdx=-x3cosx+∫3x2cosx…

Q: 8e sin(t=x] dx Evaluate

A: We have to use integration by parts here.

Q: Evaluate the integral.

A: Given: ∫01 tan-1x1+x2 dx To find: Value of the integral.

Q: Use x = e to explain why dx (In x) = = -, for x> 0.

A: To differentiate x=ey, with respect to x, use the exponential function rule, ddxef(x)=ef(x)ddxf(x).…

Q: I3Jsin'x cos x dx .6,

A:

Q: 3. X sinx eas x dx 2.

A: To find out the integration.

Q: sec' x dx 1- tar

A: We use Trigonometry substitution method

Q: dx 62 + x² Integrate:

A:

Q: ue of J. Note that the lows

A: Given ∇.V=1r2∂∂rr2vr+1rsinθ∂θ∂∂θsinθvθ+1rsinθ∂vϕ∂ϕ

Q: find dy y = tan-1(ex2)

A: The given equation is y=tan-1ex2. To find the value of dydx. Solution: y=tan-1ex2 differentiate with…

Q: Show that i-x -x 3. (i) dx Vi- –x²

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

Q: Sinx lim Ş Vtgt dt 2+0 tgx S Vsint dt

A:

Q: 1 1+9g2 dæ| dxl

A:

Q: 1

A:

Q: /is [sec2(x) – csc²(x)]dx Evaluate:

A:

Q: l6X-tan 3X, (- find openint & concav f(x)= 6-(seč 3x)3 3 sec?

A:

Q: dx Evaluate

A: ∫0919+x2dx

Q: Evaluate dx 2. f 1-tanh x

A:

Q: Integrate J dx X(x-3)

A:

Q: (sinx+1) (cosx+1) dy evaluate dx -If: y =

A: Use the concept for derivative of the form  y = f(x)/g(x)

Q: Q/Evaluate Integral:- sec2 3x dx tan23x-3 tan3x+2

A: To evaluate the integral:

Q: dx (x² + 9)² 5.

A:

Q: 1+x dx Evaluate:

A: Use substitution method: Substitute x= cos(2theta)

Q: (tan"Vx ) (sec²/x) dx Evaluate

A:

Q: Evaluate 12 xsin'x dx V1-x?

A:

Q: dy when x=Ve is dx

A:

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.