E x+y= 10«

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: T (3 sec² x + 4 csc² x) dx 3

A: The given integral,        ∫π3π43sec2x+4csc2xdx

Q: 2 [(3 sec2 x + - x)dx 4

A: Integrate

Q: Integrate: S(x2 – 1)e² dx

A: We solve this question by using by-parts  ∫u.vdx = u∫vdx - ∫u'∫vdx dx

Q: 4. f Inv9 - x2 dx - integration by parts

A:

Q: * - 1 2. Solve dx y +1

A: Given: dydx=ex-1y+1.

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: dx x6 +1

A:

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: 5. S (3x-x²)dx x2

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

Q: 4-y2 dx

A:

Q: 13. S: 5x dx x5-3

A:

Q: fon'x secx .dx

A:

Q: Integrate S (2x+1) Staz+X+4) dx

A:

Q: 7). S x² sech x³ dx

A:

Q: Evaluate. .3 S (-x² + 4x – 5)dx -2

A:

Q: Find dydx for y=ln2x3−x2

A: This question is based on derivative.

Q: Solve using fragmentation of fractions 1 dX x(х — 1)?

A:

Q: 1 dx x² V5 -

A:

Q: 7). Sx² sech x³ dx 3

A:

Q: = vt – 2. a²y y = t2 – 3' dx²

A: The solution are next step

Q: Integrate dx/(x-5)^2

A: answer = -1x-5explanation is given in below step

Q: dx x lnx√9 ln²x-1 S

A: Given: I=∫dxxlnx9ln2x-1   ...(1)   As we know that; ∫1x2+1dx=tan-1x+C

Q: 8. S(x³ + 2x² +x – 5)e2* dx -

A:

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5)

A: Given,

Q: 14) S(3x + 2)v5 – x dx

A:

Q: 3 d. S16 – 3x| dx 1

A: We have to solve given problem:

Q: 3 ln x + 2 ln y − 4 ln z

A: To simplify: 3lnx+2lny-4lnz Solution: 3lnx+2lny-4lnz On simplifying further we get:…

Q: 1- S dx -4 4

A:

Q: eral solution. - 1) dx + (3x – 2y + 3) dy

A:

Q: Integrate .5 X dx 1+x

A:

Q: Integrate: x dx (xt1)(x*+2)

A: Given data: The given integral is I=∫x2(x+1)(x2+1)dx. The given integral can be written as,…

Q: How do you integrate: xe11x dx ?

A: Given integral

Q: 1) fe-x³ dx 2) f (lnx) dx

A:

Q: 4x 9. sech(2x) dx e

A:

Q: 4. Evaluate -dx. V16 – x2 -

A: Given integral:

Q: Integrate dx/((x^3)(√lnx))

A:

Q: Integrate: dx x2+7x+6

A:

Q: x4 + Vtan y = x ln y

A:

Q: d/dx  (x2/ex)

A:

Q: 9. S." §, x*V9-x dx 16 dx Vx-2 10.

A: We need to evaluate the given definite integrals, to sove we will use the substitution method.

Q: Evaluate ſ _dx V16-x 4-x

A:

Q: 13) [[sech x – csch x }°dx

A:

Q: 3 dx 4. = 2/3 V3-x 0,

A: Solve the problem by substitution. Substitute 3-x=t

Q: sec x =dx Vtan x 3 8. 4

A:

Q: 5 S Ix² x- 6|dx -5

A: The given integral,            ∫-55x2-x-6dx

Q: Find (x + 2)e3* dx

A:

Q: solve for y. 3y = 3 ln x

A: 3y=3lnx

Q: 2-3x dx V2x -x+5

A: Given: ∫2-3x2x2-x+5dx

Q: e6x (a) : dx 4+ e6x (b) /: dx 4+ e6x 3 (с) dx V4– x2

A: Since you have posted multiple questions i can answer first three as per our company guidelines…