/E-1 t-1 t→1

Q: Solve for x accurate to three decimal places.

A:

Q: Find S 2t²e*dt

A: Given query is to find the value of the integral.

Q: solve for y. ln ( y - 1) = x + ln y

A: ln ( y - 1) = x + ln y We need to solve the equation for y.

Q: 3. SV1+ V1+x dx

A: Given integral ∫1+1+x  dx

Q: Differentiate. h(x) = In(xe-2*)

A: First simplify the given function using properties of lograthim than simply take the derivative.

Q: dx 1. x(In 4x-1)

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: erf (-∞)= -1 or e dt=-)

A: we want tomprove that 2π∫0-∞e-t2 dt =-1 we use gamma integral Γ(n)=∫0∞ e-t tn-1 dtand Γ(1/2)=π

Q: iate ſ In(x + v1 +x²)dx

A:

Q: L dx x-1 -1 -x²+1

A:

Q: „T7/12 (1 + etan 3x) sec 2 3x dx Зе

A:

Q: T (3 sec² x + 4 csc² x) dx 3

A: The given integral,        ∫π3π43sec2x+4csc2xdx

Q: Find d2z/dxdy of z=ln(x2-y)

A: Partial differentiation with respect to a variable of an expression is carried out by…

Q: 11)/ tấn (5x° – 4) dx 125x*sec (5x° – 4)-

A: Since, You have posted multiple questions. As per guidelines, we will solve only first question. If…

Q: 6. S t √1+2t dt

A: The given integral,    ∫t1+2t4dt

Q: - lx + 2 -dx (x – 5)(x – 4) Evaluate + C

A: Here we can solve the integration as below

Q: Suppose that f(x) dx = 2. Calculate (5f(x) + 4) dx-

A:

Q: de (iv) x(y² – 1) + y(x² + 1) dx

A:

Q: Evaluate dx 2 1-x

A: We have to evaluate ∫23x1-xdx. We know that ∫dxx2-a2 = 12aln x-ax+a+C

Q: Find d^2/dx^2 x=1 (exlnx)=

A:

Q: Find S dx √X²-2x+1

A: ∫1x2-2x+1dx=∫1x-1dx=lnx-1Add a constant to the solution=lnx-1+C

Q: f(t)=ln(ln(6t))+ln(ln2) f′(t)=

A:

Q: Find dx О А. О в. 0 с. 16 X * - *$*). - X -20%√/x 16 4 X x5 55/4 3 5 16 OD. 3 х

A: Derivative  of [4/x4 -4 5sqrt(x)].

Q: 1 hy (x) 1+e-(-4 + 2¤1+ x2)

A:

Q: Find x²e³ dx.

A:

Q: 1x x2 SI x +1)dzdydx 00-y2

A:

Q: Find ſ x²e-0.5x dx

A:

Q: 11-x 1 || | dydzdx 0 0 x+z

A: the given triple integral is: we have to evaluate the given triple integral.

Q: compute the higher derivative

A:

Q: dx S x-Vx2+1

A: Given that, ∫1x2x2+1dx

Q: ) dt 5e + 1+ t2

A: Take the help from standard form of integration and simplify.

Q: dy √e²y-1 S

A:

Q: -.f x³ ex² dx 3

A:

Q: by3 (3b² – x²)(1 – x5V3)/3b² – x² dx - -

A:

Q: a) Evaluate -5 S₁v 1 √√4 − (x − 3)² dx -

A:

Q: A cyclist riding at 5ms- 1 starts to accelerate, and 200 metres later she is riding at 7ms- 1. Find…

A: We know that the Third Equation of motion is    → v2 = u2 + 2as    ;     Where v = final velocity…

Q: 2x?+9х-1 1. S x(x2-1) dx

A:

Q: x4 + Vtan y = x ln y

A:

Q: Lsgn(x- 2)dx = 1. 0 2. 2 3. -2 4. -1 1 2 0 4

A: Integration of Signum function

Q: - (x³-x²+2)dx x-1

A:

Q: 2s+1 1. L-1 (s+1)²,

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Differentiate if -x e + Vx f(x) = ln(3 Ve-Vx |

A:

Q: 11) y"-y=- %3D (1+e ")

A:

Q: Evaluate:

A: Given integral is We know that

Q: Evaluate dx. Vx+/3-x

A: If f(x) is function and on changing its limit ,  Integral of f(T-x) = integral of  f(x)

Q: 413 xdx X csc 2. (sec2/3 xcsc4/3

A:

Q: SV2*- 16 dx 2.x

A: Consider the integral: ∫e2x−16dxApply u…

Q: Q2- Evaluate 1- L,(x + 2)*e=x+2)dx.

A:

Q: Evaluate : |xtan-1x dx

A: The given integral is                                      ∫x tan-1x dx

Q: Find if y=tanVx³). dx 1 A 1+x³ 1 (в 2/x³ (1+ x³) 3x2 (1 + x³) D 2(1+ x³)

A: Given query is to find the derivative of the expression.