6) S(x + 2)dx

Q: 7. If f is negative on [-3, 2], is the definite integral f(x) dx positive or negative? What about…

A: It is given that function f is negative on -3,2

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

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

Q: 1. Use substitution to find the indefinite integral. 2. Check results by differentiation Problem.)…

A:

Q: Find the indefinite integral.

A: The question is taken from the calculus in which we have to find the integral value of given…

Q: Evaluate the indefinite integral. (Use C for the constant of integration. | cos(7/x13) dx

A:

Q: 1 * dx 1+ sin x + cos x

A:

Q: Find the definite integral.

A:

Q: x+4 dx Vx

A:

Q: Evaluate the definite integral. 1 cos (тx) dx

A:

Q: Find the indefinite integral and check the result by differentiation

A: Given, I=∫x2-932xdx

Q: 4. Suppose a > 0. You are given the integral 00 1 2 Use differentiation under the integral sign to…

A: We apply the given value to find the given integral . Follow 2nd step.

Q: Find the indefinite integral using the substitution x = 8 sin(@). (Use C for the constant of…

A:

Q: 17. Why doesn't the definite integral 1-x² dx make sense? (Hint: Think about domains.)

A: To find: The reason why the definite integral ∫231-x2dx does not make sense. Explanation: Substitute…

Q: 5. Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A:

Q: Find the indefinite integral and check the result by differentiation.

A: Given: Let I=∫x21+x32 dx To Find: To evaluate the given integral and to check the result by…

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: (9) Evaluate the definite integral -1 x'+1 dx

A:

Q: 16. Evaluate the indefinite integral / (x³ – 5 sin x ) dx. |

A: We have to evaluate the integral ∫(x3-5sin x)dx

Q: 8. Using any work found in Question 7, determine the value of the following definite integrals. x/3…

A:

Q: Evaluate the indefinite integral.   ∫x2 Cos( x3) dx

A:

Q: 12) S (z* + 2x + 1) dx 3 х2 + 2х +

A: Integration

Q: Determine the indefinite integral | 5x4(x5-6)8 dx by substitution. (It is recommended that you check…

A: Let's find.

Q: Find the indefinite integral using the substitution x = 2 sin(0). (Use C for the constant of…

A:

Q: Find the indefinite integral. ∫(x2 cos x)dx

A: The given integral is ∫x2cosx  dx. Let u=x2  and   dv=cosx dx. This implies that du=2xdx  and…

Q: 7. Find the integral of the hyperbolic function below. 6 sin(x) cosh[cos(x)] dx

A: Evaluate: ∫6 sinx coshcosx dx

Q: (6). Find the exact value of the definite integral by geometry. 2x +5 dx 1

A:

Q: 4. Evaluate the definite integrals below using anti-derivatives and, if needed, the integral rules:…

A: a. Use the formula  to solve the given function as follows,   Simplify the expression as follows,…

Q: Use the definition of the definite integral (page 378) to find the exact value of -3 the definite…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(7/x29) dx

A:

Q: 4 Given f(x) dx =-5 and f(x) dx = 3, use the properties of definite integrals to find f(x) dx.

A:

Q: 3 If fS(x)dx = : = 6 and f(x)dx = -8, determine the value of each of the following integrals using…

A:

Q: 11) Гx + 7)dx

A: As per our guideline we are supposed to answer only 1 question, Please ask other questions as next…

Q: 6. Evaluate the following definite integral using the fact that sin x dx = 1. S. | (2 sin x + 3) dx

A: ∫0π2(2sinx+3)dx Take integral for each term ∫0π2(2sinx+3)dx∫0π22sinx dx+∫0π23 dx2∫0π2sinxdx+3∫0π2dx…

Q: Find the indefinite integral below and check your work by differentiation: 1 S Væ + -dx

A: Solution: The objective is to find the value of given integral

Q: Find the indefinite integral. sinh(8 - 9x) dx Step 1 First, let u = 8 - x. Now, differentiate u with…

A: Explanation of the answer is as follows

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A:

Q: (a) Evaluate the following integrals by interpreting each in terms of areas and using basic…

A: As per our guidelines, we are allowed to answer only one question. Since, you have posted multiple…

Q: Find the indefinite integral using the substitution x = 3 sin(0). (Use C for the constant of…

A:

Q: d the indefinite integral and check the result by differentiation. (Use C for the constant of…

A:

Q: Determine the indefinite integral 6.xV-5]7 dx by substitution. (It is recommended that you check…

A: We have to solve  ∫6·x3·x43-57 dx.

Q: Find the indefinite integral and check the results by differentiation? (4x^2 + 3)^2

A: I=∫(4x2+3)2dx =∫(16x4+24x2+9)dxintegrateI=165x5+8x3+9x+c    where c is any constant

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

A: Answer and explanation is given below The formula of integration is ∫xndx=xn+1n+1+c Let…

Q: .. a) Show that sinh(2x) sinh(x). = 2 sinh(x) cosh(x), using the exponential definitions for cosh(x)…

A: Hyperbolic functions are defined using exponential functions. The hyperbolic function sinhx is…

Q: 4 dt 1+t2

A: ∫0141+t2 dt

Q: Find the indefinite integral and check the result by differentiation                     ∫x2 / (1 +…

A: Find the indefinite integral and check the result by differentiation                     ∫x2 / (1 +…

Q: Evaluate the definite integral. integral - pi/4 to pi/4 (x^3+x^4tanx)dx

A: Given: Evaluate the definite integral:…

Q: 2) (2 points) if you know that f(x)dx =15 and S(x)dx = 8, find [ 3/(x)de using properties of the…

A: Suppose that a point c belongs to the interval [a,b]. Then the definite integral of a function f(x)…

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

A:

Q: Evaluate the indefinite integral. 2 sin° (x) cos(x) dx +C

A: In this question, we need to evaluate the given indefinite integral.

Q: Evaluate the definite integral. 1. 2 cos-¹(x) √1-x² dx

A: Given Problem:- ∫-11-2cos-1x1-x2dx

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: