X 1 -x sin(x)×e 50 dx 4

Q: (5-)dx ー3 2人 がー。 Sin(x) d X

A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

Q: a- S 3ln²x_dx b- f sin5x.cos²x.dx

A:

Q: sin x Q6)1- Evaluate JI dxdy (2 dy 2-Solve x sinx %3D dx +3y =

A: Let's find.

Q: Evaluate the integrals

A:

Q: 2 sin x dx cos x 7.

A:

Q: 2. e* sin x dx

A: (2). We need to evaluate the following integral  ∫0πexsinxdx

Q: x3 e. ; V1-x4 dx f. J sin x cos x dx

A: e.

Q: 2x + 2 Evaluate : sin :Ssi". dx. 4x² + 8x + 13,

A:

Q: x sin 4x2 dx

A: Integration is a process of finding the antiderivative of a function. There are basically two types…

Q: x sin 3x² dx

A: Our Aim is to integrate the following integral given below:-∫x sin (3x2) dx -(i)

Q: S sin (x) cos³ (x) dx

A:

Q: Find the General and Particular solution of = 8 sin 4x ; y = 6 when x = 0 %3D dx

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: b) √ ²x³-x+4 dx x3 7T 4 (sin X

A:

Q: fe²x+Inx² sin x² dx = +²√e²x cos x² dx

A:

Q: dx3 dx =| V9-x² cos? 1+sin x .2 dx = 4. 5. 6.

A: (4)∫xx-1dxLet x-1=udx=du=∫u+1udu=∫1 du +∫1udu=u+lnuu=x-1 therefore∫xx-1dx= (x-1)+ln(x-1)+ C

Q: e. y =x' sin (x² +5)

A:

Q: C. y = e2x sin²(3x)

A: We use product rule to find derivative for part c

Q: 4 sin x dx (1 + cos x)²

A: Here we have to solve the given integration.

Q: 2x3 + 4x – sin x - dx = 0 х2 — 7 a

A: Consider f is any function defined on the interval [-a,a] .Then f is  even if f(x)=f(-x) for all…

Q: x sin(2x2)dx

A: We have to find the integral.

Q: (a) S(7 – sin(x) + 9cos(x))dx - 1 (b) S (e* + 3* – - 2 V1-x

A:

Q: 2x cos x? dx 1+ sin² x² 8

A:

Q: 1) [(sin? x- cos² x) dx 2) J dx 2

A:

Q: d3 (2 sin x + 3 cos x Find dx3 x³).

A: Given that: d3dx3(2sinx+3cosx-x3)

Q: Find the General and Particular solution of = -8 sin 4x ; y = 6 when x = 0 %3! dx

A: We will solve it by variable separable form Consider dydx = -8 sin (4x)dy = -8 sin(4x) dx On…

Q: cos 3x b. S; dx = ... 3+15 sin 3x

A: We have to solve the given integral .

Q: x) + 3x + 6)(sin(2x)) · dx

A: To evaluate the given integral using integral by parts.

Q: 50. g(x) 52. f(x) = xe* 54. y = sin²(e³x+!) %3D

A:

Q: x2 Q1 (x sin x+cos x) -dx

A: For integrating the given integral we will use the below-mentioned integration formulas…

Q: V3 27 sin -1 x dx 0.

A:

Q: x2 Q1 S (x sin x+cosx)2 dxp

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 11. y = (x + y) 12. y =x sin -1x + 1 – x2

A: Let's find.

Q: 1 dx 3 sin x+4 cos x+3

A:

Q: P2: |(e* sin x + x In x) dx

A:

Q: - Ixy cosx? - 2yy t|] dx + [ Sin x? - x2] dy= O

A:

Q: S(x + 2) sin(x² + 4x – 6)dx

A: Let I=∫x+2sinx2+4x-6 dx

Q: dx = 3 cos° x/2sinx

A:

Q: 3T/2 1|sin(x| dx 01

A: Topic = Integration   using this definationsin x=sin xif 0≤x≤π-sin xif π<x≤2π

Q: -4x⁹. sin(x) (1+x²)² dx=0

A: Follow the procedure given below.

Q: (c) So cos(-x)(x²)dx (d) S(3x² – 2x + 1)sin dx

A:

Q: x sin(x² )dx 2.

A:

Q: Q1-Find S sin 3x e4* dx

A: let I=∫sin3x e4xdx using by parts I=e4x∫sin3x-∫ddxe4x∫sin3xdxdx simplify I=e4x∫sin3x-∫12e4xcos3xdx…

Q: x – sin-'(x). dx. /1 – x²

A:

Q: (5-)dx Sin(x) d X

A: Since we have multiple question we are suppose to do only one. Kindly repost the other question as…

Q: dx 5+4 cos x

A:

Q: f(x) = 8x + 6x – sin(x), 0) =

A: Derivative: f(x)=8x5+6x-sinxWe know ddx(xn)=n.xn-1ddx(sinx)=cosx

Q: b) ſ e2x sin 3x dx

A:

Q: sin x dx 1+ cos2 x 31. T/2

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: x² (d) S √1-4x² (HINT: sin² t = dx. (1. (1 - cos 2t).)

A: We have to evaluate ∫x21-4x2 dx.

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.