Evaluate the given 1 dx J 2x/1– 9x²

Q: Evaluate the integral.

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Q: Solve the diff eq. (Homogenous) dy dx + x²(y² + 3) y(x³ + 1)

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Q: dx J (x² + 2x – 10)²

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Q: c) Evaluate the following integral | dx. x2 +6x+10

A: x2+6x+10=x2+6x+9+1x2+6x+10=x2+2*x*3+32+1    (a2+2ab+b2=(a+b)2) x2+6x+10=(x+3)2+1

Q: Find the I.F of dy/dx= 1/(2xy)

A: Given that, dydx=12xy we have to solve this differential equation.

Q: 4 (x + Jy) dxdy へ。 1 1.

A: In the question we have to evaluate the double integral.

Q: dx J 2.x² – 3x +9 Зх + 9

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Q: Integrate the following: dx J 4x2 + 1

A: ∫1x2+a2=1atan-1(xa)  Here we use u-subsitution .

Q: Perform the following operations. d 1. dx Jo 1 dt +1

A: Given,         ddx∫0x31t2+1dt

Q: Evaluate the following integral. dx x +2x + 26

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Q: Ге-). 5x) dx х Je

A: Consider the upper integral.

Q: Evaluate the following Integral: 2Rx-3 SI + (x² – 3)] dx а. (Rx2-3x+1)5

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Q: dx. Evaluate J 2x²+3x+1

A: We have to evaluate the ,  I=∫12x2+3x+1dx

Q: J dx 4+x²

A: Given,            ∫14+x2dx

Q: • t(dx/dt) = 6te2' + x(2t – 1). %3D |

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Q: dx b) V2+ V3x² +1

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

Q: (x++) dx J x²+2x +5 2

A: Solution:Given     ∫(x+4)x2+2x+5dxFormula:∫dxx2+a2=1atan-1xa

Q: Find J 11x(14)* -1'dx

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Q: make the given substitutions to evaluate the indefiniteintegrals. ∫7√(7x - 1) dx, u = 7x - 1

A: ∫77x-1 dx Now put 7x-1=u⇒71-0=dudx⇒7 dx=du

Q: Evaluate the followingintegrals.∫x3√(2x+1)dx

A: Given integral is ∫x32x+1dx. Consider u=2x+1. Then du=12x+1dxdx=2x+1dudx=udu

Q: 2 J xe9x da 0

A: Given- ∫02xe9xdx To evaluate the given definite integral, Here we will use the following formulas-…

Q: J x(x² + 3)5 dx

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Q: (х — 3)dx J («+2)(х + 1)?

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Q: (x– 3)dx J (x² + 2x+ 4)²

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Q: D. Compute in terms of x and y. dx

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Q: x + 7 dx J (x²)(x + 2)

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Q: dx J (x – 7)²

A: Given,           ∫xx-72dx

Q: So lve the Rollowing (x" +2y") dx %3D

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Q: Q3. Find dt 4x – 2 dx x² + 20 4t

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Q: Find J 15x(4)* - dx

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Q: Find 3 J (æ+ 1)/2x² + 4x + 6 dx. OTM

A: We have to find the integral of the given function.

Q: dx dx 2 +9)3/2 X + 9

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Q: Evaluate the following. 1 dx /1+v1+x

A: ∫11+x+1dx

Q: J 6x x +3 dx

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Q: 3x 2. S dx Jx2-x-2

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Q: 2. Evaluate the following: . /32 dx a. b. /a'e'dt c. [e*se" dx

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Q: Evaluate the following integral. 2x+1 dx x +9 2x +1 dx = * +9

A: Consider the integral ∫2x+1x2+9dx

Q: За? + 2 dx J x³ + 2x + 10

A: We have to solve

Q: dx J V3 – 2x – x2

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Q: d V3i dt = dx x²

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Q: d 23 dx x2 (1+t²)* dt

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Q: Which of the following is the actual du when integrating / dx? ¿xpt 2x dx a. 2x-4 b. x²dx c(2x 3 –…

A: Given: The integration ∫x22x3-4dx, To determine: The actual du when integrating the given…

Q: Find each definite integral: dx A. xlnx 3. dx 3+ x 0. B.

A: To find:-

Q: Find the following integral : dx %3D x-4x+7

A: Find the following integral :      ∫dxx2-4x+7

Q: Find the indicated derivative. d 15x+37 dx d 15x +37 %3D dx

A: we have to find the derivative: ddx15x+37x   as we know that the quotient rule of differentiation…

Q: J dx 4 + x² =

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Q: Evaluate the following 1, the intergral from 0 to 1 of (dx)/(√(7-6x-x^2) )

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Q: Find the J(2x + 1)³ dx

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