Evaluate the integral using the methods covered in the text so far:                    ∫ (7 − e10x) dx

Q: Evaluate the integral by interpreting it in terms of areas. (1 - x) dx

A: We know that the area of right angle triangle is :  A = (1/2) × base × perpendicular

Q: Evaluate the integral using the methods covered in the text so far:                    ∫ 7−x dx

A: It is observed that for solving the integral ∫7-xdx,use the substitution method. The substitution…

Q: Use the Table of Integrals to evaluate the integral

A: To determine: The value of the given integral

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Evaluate the following integrals using FTOC. 1 dx 4. |x| dx 2.

A: This question is related to integration. We will solve this question by using properties of…

Q: -+inf In(tan¬'x) dx 1+ x2

A:

Q: L₁ |x|dx

A:

Q: (x²-x)dx

A:

Q: Evaluate the integral using the methods covered in the text so far:                    ∫ 2xe4x dx

A: Consider the given integral. I=∫2xe4xdx Put u=2x in the equation. u=2xdu=2xln2dxduln2=2xdx

Q: 1. x +4 √x -dx

A: We will use substitution method.

Q: Evaluate the integral using Algebraic Sub. x + a dx 3x a |

A: Just I have used the substitution to make integral easy and then solved it. Final solution is in the…

Q: 4. dx +

A:

Q: Use the given integral table to find and evaluate the given integral. Given: ∫ 1/√6x - x2 dx

A: Given ∫16x-x2dx To evaluate the integral:

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: (4-x²) dx

A: SOLUTION-

Q: Evaluate the integral by interpreting it in terms of areas.

A:

Q: dx X-1

A: Given : ∫xx-1dx

Q: 1 -dx х6—х

A: We have to evaluate the integral by substitution method: ∫1x6-xdx Rewriting the integral,…

Q: Evaluate the integral. In(10 x 9) dx +C

A:

Q: Evaluate the integral by interpreting it in terms of areas. 4 + V 81 x2) dx

A:

Q: Evaluate the integral by interpreting it in terms of areas: (2 – |xr|) dx dr =

A: We draw the function using a graphing calculator.

Q: Evaluate the Integral using the following values. -206 [³x² dx = 260, [°x dx = 10, [° dx = 2 (22-7x…

A:

Q: TI dx 1 x4 -1

A:

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A: Let I is the value of given Integration.

Q: Evaluate the integral by interpreting it in terms of areas. 2) dx

A: Given the definite integral I=∫09(13x−2)dx

Q: dx 6. xVa² - x² X

A: Consider x=asinu. Differentiate the equation x=asinu and simplify to calculate the value of dx.…

Q: Evaluate the integral using the formulas in the summary and Eq. (1).

A:

Q: Evaluate the integral by interpreting it in terms of areas. (1 — х) dx

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the indefinite integral. (Use C for the constant of integra 2 xp xV4 - (In x)2

A: Solution

Q: Evaluate the integral or state that it diverges.

A:

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x cos-1 x dx

A: Given: I=∫xcos−1xdx

Q: Evaluate the integral by making an appropriate u-substitution and applying any necessary formula(s).…

A:

Q: 71. | (In x)³ dx.

A:

Q: Evaluate the integrals ∫2eθ cosh θ dθ

A: To evaluate  ∫2eθ coshθ dθ

Q: |(3x3 – 2x² + 1) sinh 2x

A:

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫x√(2x - 3) dx

A: Given: ∫x2x-3 dx To find: Value of the integral.

Q: Evaluate the given integral with suitable substitution: (42x + 42) dz

A:

Q: Evaluate the integral by using multiple substitutions. x² sin (9x2) Vcos (9x³) dx COS 25)

A:

Q: Evaluate the integral using the following values. 9. x3 dx = 320, 9. dx = 4 dx = 16, %3D - 10x + 3)…

A:

Q: Evaluate the integral by interpreting it in terms of areas. *18 |x - 9| dx

A:

Q: (2г — 1) dr

A: Given ∫-132x-1dx

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: evaluate the integral using the methods covered in the text so far.

A:

Q: Evaluate the integrals ∫4e-θ sinh θ dθ

A: Given: The integral, ∫4e-θsinh θ dθ.

Q: Evaluate the integral using the following values. 8. x dx = 1,020, x dx = 30, dx = 6 1. 8x 10

A:

Trigonometric Identities

Trigonometry in mathematics deals with the right-angled triangle’s angles and sides. By trigonometric identities, we mean the identities we use whenever we need to express the various trigonometric functions in terms of an equation.

Inverse Trigonometric Functions

Inverse trigonometric functions are the inverse of normal trigonometric functions. Alternatively denoted as cyclometric or arcus functions, these inverse trigonometric functions exist to counter the basic trigonometric functions, such as sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec). When trigonometric ratios are calculated, the angular values can be calculated with the help of the inverse trigonometric functions.