2x -dx e* +1 Evaluate the integral of A e*- In(e*+1) +e B '+ In (e* + 1) + c © e*+ In(e*+1) +c D In (e*+ 1) +c

Q: (In x)* Integrate: 1

A: Given,            ∫1eln x4xdx

Q: integral of 9(t-1) / t^2(t^2-9) dt

A: Integrate: ∫9(t-1)t2(t2-9) dt

Q: Use partial-fractions to find the integral: A.) integral (2x+1)/(x^(2)+x)dx B.) integral…

A: A). B). C).

Q: Which of the following is not true for the differential operators A, B, and C? A (A+B) +C = A+ (B+C)…

A: Differential operator

Q: integral of 2x/(2+x)

A: Let the given expression be denoted by integral I ;

Q: Find the integral of ∫tan^5(4x)dx

A: Given Data: Integrand: ∫tan54xdx   let u=4x   The derivative of the above equation is, dudx=41dx=du4

Q: Exercise 20. Compute the definite integral 1 3r - 5 (00

A:

Q: find the integral of (e^it + 1) / [e^it (e^it - 3)] dt

A:

Q: 学 x + 2 dx x² 9) [ 3x' .e** dx e* 8) 1+ 3e* 10) [ 2-* dx -4x dx

A: This question is taken from the indefinite integral in which we have to find the integral value of…

Q: The integral factor of the following O.D.E [ ( 3*(x^2)*y)+(y^3)+(2*x*y) ]dx :+ [(x^2)+ (y^2)]dy =O…

A:

Q: Find integral fraction (numerator) y dy / (denominator) square root of (y+2) using the substitution…

A: Let's find given integration by using given substitution.

Q: 3 Compute the primitive of w= (z³ - x² z)dx ^dy - x²dx ^ dz + (3y² z - 3xz²)dy ^ dz

A: The primitive of a differential form is also known as its antiderivative. In this case, we want to…

Q: 2,1 (1/x^3+2) find the integral

A: To Determine: find the integral of 1x3+2 in interval 2,1 Given: we have a function f(x)=y=1x3+2…

Q: ヤく dx

A:

Q: تمارین: جد ناتج التكاملات الاتية (1) ( v2x +3 dx (2) ) Ta+3)² dx (3) | (3x* – 4x° + 3) dx V2x + 3 dx…

A:

Q: Integral of 8/e2x dx

A: Given integral:

Q: where did the (t-1)/(t^2-1^2) come from. and why did you split the integrals and not just do one…

A:

Q: D(D² + 9)y = sin3x - 5

A: Using method of linear differential equation with constant coefficient.

Q: Show /x^ In х dx xn+1 ((п + 1)In x — 1) (п+1)2

A:

Q: 1. Given the following graph and A(x)=f(t) dt, f , find: -2 -1 4 -3- --2- 1- 0 -1 --2- -3 1 2 3 5 6…

A: Given: To Find: To find .

Q: 53) Rewrite the integral (-1/1)(x²/1)(0[1-y) f(x,y,z) dzdydx

A: Rewrite the triple integrals

Q: x2 dx zX - biN 円-X

A: We will use substitution to solve this

Q: Show that there is a real number t such that (e^−t) − (t^3) = 207/(t^4) + 1.

A:

Q: How do I write an integral in singal integral form?

A: In this question we have define how to write an integral in single integral form.

Q: compute (x2 - 8x +20) dx on the interval (0,1)

A: To evaluate the given definite integral over the open interval (0,1)

Q: (1) 6(x) ==—= x + 7 $=(-7/6×+75² - 7/6 x + 7) ²

A: Use substitution to find integral

Q: Q4. Evaluate ſ In(x + v1 +x²)dx

A:

Q: Solve the equation using Reduction of Order y" -y = 2et Oy=c₁e¹ + c₂xet + e* (x + c3e-²x + C4)…

A:

Q: Use the Chain Rule to check that the derivative of d dx 5 2(4-x-)- = = 1 (ਜ) 5 d 2 dx 5 2(4 – x²)² d…

A: We have to find the derivative of the given function using chain rule.

Q: Find the complex remainder of the function: f(z)= 2z^4(3z+5)e^(3/z^3) Remember that: e ^ u = 1+ 1/1!…

A: We know that the residue of a complex function is also known as the remainder of the function. We…