Find the following indefinite integrals Vu+u du

Q: Determine the following indefinite integral.

A: First we separate the integral.

Q: Find indefinite integral.

A: Given the indefinite integral ∫-u2-u2 du To evaluate the integral  Let I=∫-u2-u2 du

Q: Use substitution to find the indefinite integral. 6 10(1

A:

Q: Evaluate the following indefinite integral: - 5xvx dx

A: Given, ∫-5x x  dx   = ? ∫-5x x  dx   =   -5∫x3/2 dx…

Q: Evaluate the following integrals.

A:

Q: 1 1 (1++)dr

A: To Evaluate: ∫121+1x+1x2dx     Note : ∫1xdx=logx+C∫xndx=xn+1n+1+C

Q: V64 – x? da

A: Given: ∫64-x2xdx

Q: Evaluate the definite integral. dæ

A:

Q: Evaluate the following integrals. Jo cos?

A:

Q: Use substitution to find each indefinite integral. a. 4(2r +3) dr

A: Given: I=∫42x+34dx for evaluating given integral, we substitute 2x+3=t…

Q: Determine the following indefinite integral.

A:

Q: (a) J ₩을dr

A:

Q: Evaluate the following indefinite integral. Do not include +C in your answer. –3x* + 6x³ – 5x²)dx

A:

Q: Evaluate the improper integral : e Answer:

A:

Q: Evaluate the following indefinite integral. 11+u du

A:

Q: Evaluate the following indefinite integral. du r9+u du%3D

A:

Q: 1

A: ∫x23-1x2dx

Q: Evaluate the following indefinite integral. da I In(x) Note: Don't forget your C! And be sure to use…

A:

Q: Evaluate the following integral using trigonometric substitution. 12-9 (x, x>3

A:

Q: Evaluate each of the following indefinite integrals: (tan e +sece")°e*dx let u= du=

A: Topic:- integration

Q: Find the following definite, improper, integrals.

A:

Q: Find the following indefinite integrals: (a) S14 dz I16z (b) S(Vr7 – 37) de

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: Find the following indefinite integral. Savx2 +5 dx

A: To evaluate the integral

Q: Find the indefinite integral.

A: Given : ∫θtan2θ2dθ

Q: Evaluate the following definite integral: '(음) dz=Number 49 8

A:

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A:

Q: Evaluate the following indefinite integral. Do not include +C in your answer. |(-2,8 – 2æ" + 2x –…

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS: Identify the u and find 4 sec?x dx

A: Please refer to the image below

Q: Calculate the definite integral by referring to the figure with the indicated areas. Ab a Area A =…

A:

Q: Evaluate the following integral by using the substitution x= 6sin0: 1 dx XV36-x²

A:

Q: Evaluate the indefinite integral. | #(2? + 5)* da 4

A: Given, ∫x(x2+5)4dx Substitute   u=x2+5 ⇒du=2x dx ⇒x dx=du2 ⇒∫u4du2 We know that, ∫a.f(x) dx=a.∫f(x)…

Q: Evaluate the following definite integral: F () 25 3 da = Number

A:

Q: Evaluate the definite integral. *T/3 sec(8) de

A: We have to find

Q: Evaluate the definite integral. 8Vu du

A:

Q: Evaluate the given indefinite integral. Indicate u, n, and du. [5lan2P etan 28 sec² 2 Bd ß

A: Let I=∫5tan2βetan2βsec22β dβ

Q: Find the indefinite integral ∫csc2 3t / cot 3t dt

A: Given: I=∫cosec23tcot3tdt for evaluating given integral, we substitute cot3t=x…

Q: csc* 0 cot* 0 de -4

A:

Q: (2xcot(x) csc²(x)) dx

A: Given problem:- ∫2xcotxcsc2xdx

Q: Evaluate the definite integral xp, a) S b) S

A: ∫011+7x3 dx Consider, ∫1+7x3 dx=∫1+7x13 dx=1+7x13+113+17+C     ∵∫xn dx=xn+1n+1+C & x-coefficient…

Q: 69° (24° – 1) da

A:

Q: Evaluate the following integrals.

A: Our Aim is to integrate the following:-∫tan-1 (x3) dx

Q: Find the integral for the following functions: - 1) SG+Dax

A: To find the integration [(1/x²)+(1/x)]dx

Q: Evaluate the indefinite integral by using the given substitution to reduce the integral to standard…

A:

Q: Find the following definite integral

A:

Q: Evaluate the following indefinite integral.   ∫csc^2x/cot^7x dx

A:

Q: Evaluate the following indefinite integral. xp

A:

Q: Use the substitution u= 7x +4x to evaluate the indefinite integral below.

A: We have to change the variable from x to u by the substitution u = 7x2 +4x.

Q: Find the following indefinite integrals: 243 dr (a) 192 (b) S(V= - 2") dz

A: here we have to solve , a) ∫x2+3x3+9xdx b) ∫x53-2xdx

Q: je* dxdy b)

A: In this question we have to find integration.

Q: Evaluate the following integrals: e tan (e") (b) dr Vsec2 (e²) – 7

A: We have to find

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: