for each function, we know that the integral from 1 to 3 f(x) dx =3 and the integral from 3 to 6 f(x) dx = -1   Find the integral from 3 to 1 of fx dx Find the integral from 1 to 6 of fx dx Find the integral from 3 to 6 of fx dx

Q: Given the integral ( 12x3 + 7 dx -5 Use the integral table to help you find the Anti Derivative of…

A: To evaluate: ∫-5712x3+7 dx We know that  ∫xndx=xn+1n+1, ∫kf(x)dx=k∫f(x)dx and  ∫abf(x)dx=F(b)-F(a),…

Q: Use the Change of Variables Formula to evaluate the definite integral. (x + 1)(x² + 2x)' dx (Use…

A: We are asked to evaluate the integral.

Q: Evaluate the definite integral. el -* dx - x dx

A: You can solve this integral by the substitution method.

Q: S x cos √x² +4 V √x² + 4 dx

A:

Q: d x 17) S

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Use integration by substitution or integration by parts as appropriate to evaluate Axsin (Bx) dx 0.…

A:

Q: Evaluate the integral. 2 8x dx   0

A: Integral of a^x = a^x/lna

Q: Use Integration by Substitution to find sin(x²) 2x dx Use Integration by Substitution to find cos(x)…

A: We have to find

Q: Using appropriate trigonometric substitution and changing the limit of integration, the integral…

A:

Q: Find the indefinite integral. x cos 8Tx? dx

A: we have to find in definite integration∫xcos8πx2dx

Q: Find the definite integral: (x² + 2x)dx

A:

Q: .2 x cos 9TTX dx

A:

Q: Use the Change of Variables Formula to evaluate the definite integral. (x + 1)(x² + 2x)´ dx (Use…

A: In this question, we need to evaluate the definite integral using change of variables method.

Q: Evaluate the following 1, intergral from 0 to π/2  of √(sinx -sin^3x) dx  2, intergral from 0 to 3…

A:

Q: Q2 : Evaluate the integral sin x dx 1-sin² x

A: To find the integrations.

Q: Evaluate the integral.   7 1    (ln(x))2  / x3 dx

A: The given integral is, ∫17lnx2x3dx

Q: Find the definite integral.

A:

Q: use this to evaluate /x*sin (2x)dx

A: Integrating using by parts...

Q: .2 dx -2

A: To evaluate  ∫-2bx2-xdx where b is a positive number.

Q: 2) S cos? x sin3 x dx

A: The given integral is: I=∫cos2x sin3x dx=∫cos2x(sin2x)sin x dx=∫cos2x(1-cos2x)sin x dx

Q: .Find a reduction formula for ea* sin" x dx. Hence evaluate e* sin x dx. 3

A:

Q: f is continuous, then show the integral from 0 to π of xf(sin(x)) dx = π/2 times the integral from…

A:

Q: Evaluate the definite integral from 0 to 1,  x^29e^-x^(30) dx

A: follow next step

Q: consider the function y=f(x)= x + sin(x).  What is the integral formula for the length of the graph…

A: The problem concerns determination of arc length along the given curve (using integration)

Q: Find definite integral.

A: The given integral is ∫12 3x2+5dx

Q: x* +00 + 3 -dx x² + 3x + 1 -00 8

A: Note that for x>3 and x<-3, x4+3x2+3x+1>x. Now, ∫-∞∞xdx diverges so, ∫-∞∞x4+3x2+3x+1dx…

Q: 5. 3 :) dx 'tan x cos x

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 6) Using gamma function, evaluate So 6 хе 2x dx

A: Introduction: Gamma function is an integral function that is defined through an integration. The…

Q: 7 Use the properties of definite integrals to find f(x) dx for the following function. 2 4x + 1 if…

A: We will solve the problem

Q: Evaluate the definite integral. sec (x/4) dx 0.

A:

Q: Evaluate the following 1, intergral from 0 to π/2 of (Cosx)/(1+sin^2x) dx

A: As per bartleby guideline for more than one question asked only first is to be answered please…

Q: To evaluate the integral expression / sin -1(Vx ) dv, using simple substitution dv =f (x)dx_…

A:

Q: Evaluate the definite integral.   3 (x4 − 6x3 + 2x) dx   0

A: Use the power law of integration and put the limit.

Q: Find the integral of the following equation integrate cos(x + pi/3) dx

A: Given problem:- Find the integral of the following equation integrate cos(x + pi/3) dx

Q: Consider the integral f sin-1x dx. If we let u = sin-1x and dv = dx, the integral can be written as…

A:

Q: 16. Evaluate the integral:23 sin x dx.

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

Q: Suppose we wish to find the integral of x dx/(1+x^4), the first step to solve this is by a. Using…

A: Consider the integral: ∫x1+x4dx

Q: The first step to solve the integral of (sin x)^4*(cos x)^3 dx is transform the problem by using…

A: The given integral can be solved using u integration.

Q: (a) Using integration by parts, find fx sin(2x - 1) dx. (b) Use substitution method to find x² 2x-1…

A:

Q: (1+x|) sin²(x)+ sin(x) 1+x| The integral dx is equal to 2

A: Given integral is ∫-π2π21+|x|sin2(x)+sin(x)1+|x|dx

Q: -0.2 e2x sin(x) dx

A:

Q: To treat the integral       −36(2x + 1)−2 dx as a constant multiple of one of the form       unu'…

A:

Q: 12. By using the trigonometric substitution X = x = ; + sin(0) then the integral S - xp- (3+4x-4x2)…

A:

Q: Find the integration of the

A: Given:- x2 / (x sin x + cos x)

Q: Evaluate the integral. 14 sin (x) cos"(x) dx Step 1 14 sin (x) cos"(x) de has an odd power of of…

A: We need to  compute ∫14 sin2x cos3x dx Now,  using the identity cos2x=1- sin2x  we get: ∫14 sin2x…

Q: Each of the regions A, B, and C bounded by the graph of f and the x-axis has area 3. Find the value…

A: Let's find.

Q: Find the definite integral 10 (2х — 3) dx

A:

Q: Find the indefinite integral. ∫e−3x sin 5x dx

A: ∫e-3x sin5x dx

Q: Using a trigonometric substitution, the integral /- (9+x²)3/2 dx becomes:

A: here option B is true because

Q: 1.Evaluate ∫[tan^3(θ)/cos^4(θ)]dθ  2.Evaluate ∫cos(x)e^(sin(x)) dx 3.This result is a…

A: