Find the indefinite integral. ∫(e1t/t2) dt

Q: Evaluate the definite integral (1+lnx)? dx a.

A:

Q: dx I = a² +x²

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

Q: Find the following definite or indefinite integrals: 2+In x dx a) S-

A:

Q: Find the indefinite integral.

A: Integration is summation of discrete data. The integral is calculated for the functions to find…

Q: Evaluate the following integrals.

A:

Q: (b) / e*+e* dx.

A:

Q: 2x e dx +1 2x

A:

Q: dx 1 = S- g2+x2

A: Solve

Q: Find the indefinite integral

A: Formulae used: ddxxn=nxn-1ddxC=0∫12xdx=x+C∫1a2+x2dx=1atan-1xa+C

Q: Evaluate the indefinite integral -dx x6 + 1 + C

A:

Q: e*dx 1+e

A: Given integral,

Q: Find the indefinite integral by using the appropriate formula'. ∫e2x cos 3x dx

A:

Q: Find the indefinite integral ∫ e5x−3 dx

A:

Q: Find the indefinite integral ∫ e5x (5) dx

A:

Q: Find the indefinite integral ∫(ti + 3j) dt.

A:

Q: Evaluate the definite integral. e !/x5 dx 1 to

A: We have to solve integration by put  1/x⁵ = t

Q: Find the indefinite integral.

A:

Q: (In x) dx x+1 c) d)

A: Definite integration

Q: . Evaluate the definite integral: Jo 1+ e2x ex dx.

A:

Q: dx I = е. a² +x²

A:

Q: Evaluate the indefinite integral 5e" dæ S 5e² dx +C

A:

Q: V A

A: ∫x1+x2dx=∫2u4+u2du=2·∫u4+u2du=2·∫2v24+v4dv=2· 2·∫v24+v4dv=2· 2·∫ -v4v2+2v+2+v4v2-2v+2dv=2·…

Q: Find the indefinite integral.

A: Given integral: ∫exx dx Substitute x=t and differentiate it w.r.t 'x' ddxx=dtdx12x=dtdxdxx=2 dt

Q: Find the following indefinite integrals. X dx= Vx6 +C

A: Given,

Q: Find the indefinite integral. x' + dx +C.

A: Integrate

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: Find the indefinite integral. 1 dx = +C. x +

A:

Q: Find the indefinite integral.

A: Our Aim is to find the indefinite integral given below:-∫e-x tan (e-x) dx  -(i)

Q: Find the following indefinite integral. I dx x2 + 9

A: From the given problem:   I=∫xdxx2+9...(1)   Let,   x2+9=t   To differentiate with respect to x.…

Q: Find the following indefinite integral. S(7 + e) dx

A: ∫(7x+e)dx Formula ∫axdx=axln a+C∫adx=ax +C

Q: b) Calculate the following definite integral: [*(√x - 3) dx

A:

Q: Evaluate the following indefinite integral. 3 dx +C

A:

Q: Find the indefinite integral. | Vi (e* +t - 1) dt

A:

Q: /2+In x dx

A:

Q: Find the indefinite integral of t/1+t

A: Here we have to find the indefinite integral of t/(1+t) .

Q: b) Calculate the following definite integral: [* (√x - 1) dx

A:

Q: x + 4 dx = x' + 4x

A: Given, ∫x+4x3+4xdx Now we take the partial fraction we get, x+4x3+4x=Ax+Bx2+4…

Q: Find the following indefinite integral - 3r – 5x + 18 dx x² – 6

A:

Q: Evaluate the following indefinite integral, 1 (e&r VI – -)dx x2

A: Given integration is: ∫e2x-x-1x2dx To find the value of integration. ∫eaxdx=eaxa+c∫xndx=xn+1n+1+c,…

Q: Find the indefinite integral.∫(cos5 t/√sin t)  dt

A: Given information: The indefinite integral is ∫cos5tsintdt Trigonometric identities used:…

Q: g. çdx Vx5 + 1

A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: | -2" dxr. (x² + 1)e

A:

Q: Find the indefinite integrals. S- 2x -) dx J(금 a)

A:

Q: Evaluate the definite integral. 1 e dx

A:

Q: -dx e2a

A: Given: ∫01xe2xdx

Q: Find the indefinite integral. 17 dx +C

A:

Q: Evaluate the indefinite integral. e dx

A:

Q: Find the indefinite integral ∫ t /(t4 + 25) dt

A: To evaluate the given integral

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.