x² dx (x² – 1)3/2 21.

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A: Integrate the given integrand x/x4+2x2+2 by completing the square method

Q: Evaluate the indefinite integral given below using the indicated substitution. 1-20 -2(-2x + 9)³ dx…

A:

Q: 7 Evaluate the integral da. (4+x2)? NOTE: Enter the eract answer. dx = 0 (4 + a2)*

A:

Q: dx x/x² – 9 J3 .2

A:

Q: e the integral, 1 x2 dx (3 + 4x – 4x²)/½

A: Given integral, ∫01x23+4x-4x232dx Find the value of the integral in the following.

Q: 1.S(2 + Vx)³ Vxdx

A:

Q: 1. S(In x)² dx

A:

Q: he resulting integral of dx is ax + b ln x -Arctan +C, where a, b, d, e, and x3-2x2+5x are integers.…

A: b=2

Q: Decide on what substitution to use, and then evaluate the given integral using a substitution. (Use…

A:

Q: 6 (x²+1) dx S (23+3x-2)²

A:

Q: Evaluate the integral. 17 dx 2 Vx² – 1 - NOTE: Enter the exact, fully simplified answer.

A: Let's find.

Q: Evaluate the integral 18 - 6)"da, by making the appropriate substitution: u = *(=* - 6)*dx = 18…

A:

Q: Consider the integral shown below: π ∫ (ln(x))/((x^2)−2x+2)  dx. 1 Evaluate the integral using:…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) Зx In(x) dx ,2 -36

A:

Q: Given ∫(4x5−3x4−x2−2)dx, evaluate the indefinite integral. Do not include +C in your answer.

A: Given ∫4x5-3x4-x2-2dx

Q: dx h) S x2+4x+8

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: Evaluate the integrals using substitution. (Use symbolic notation and fractions where needed. Use C…

A:

Q: (2+ v 9-x²) dx -3

A: Given integral is ∫-302+9-x2dx.

Q: Evaluate the integral. •3 dx x4/x² + 3 NOTE: Enter the exact answer.

A: Explanation of the answer is as follows

Q: Evaluate the following integrals using the tabular method. (i) (ii) (3x³ – 2x² + 1) sinh 2x

A: Evaluate the integrals using tabular method.i) ∫e2xsin2x dxii) ∫3x3-2x2+1sinh2x dx

Q: In Exercises , use a substitution to change the integral into one you can find in the table. Then…

A: 27. Given integral is, ∫x3+x+1x2+12dx.   It is integrated as follows:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: 8. S dx (4x2-24x-27)3/2

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: Evaluate the integrals. Simplify your answers. dx J4/3 4x+vx³

A:

Q: Evaluate the integral. 4.x V1 - x2 dx = 0. NOTE: Enter the exact answer.

A: Given: I=∫014x31-x2dx  ...1 Using substitution method to solve the given integral. Let,…

Q: Evaluate by  ∫-2 2  (x +3 )  √ (4- x2)   dx    writing it as a sum oftwo integrals and interpreting…

A: Given: I=∫-22x+34-x2dx we know that ∫abfxdx=∫abfa+b-xdx…

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A:

Q: Find or evaluate the integral by completing the square. (Use C for the constant of integration.) dx…

A: To find out the integral.

Q: Evaluate the given definite integral. xp 2+7)(x³+21x+2)dx =(Type an integer or a simplified…

A:

Q: Evaluate the integral using an appropriate method. J = 3 22+5+6 dx

A:

Q: Use the specified substitution to find or evaluate the integral. (Use C for the constant of…

A:

Q: Evaluate the integralS, V1 – x² dx. Note: Retain T and any fractions in your answer if applicable.

A:

Q: 5. Jxе2x dx

A:

Q: Evaluate the following integrals. Show all the necessary solutions. ² dx 1.

A:

Q: If you were to use a substitution of u = 4x³ - 2 to evaluate the definite integral below, what would…

A:

Q: Determine the following definite integrals: 3 (c) / 12x – x²| dx (a) [a- | (1+ v25 – x²) dx…

A: Evaluate the integrals:

Q: Evaluate the integral (2x + 4) (2² + 4x + 2) dz by making the substitution = x² + 4x + 2. Submit…

A:

Q: If you were to use a substitution of u = 3x³ + 6 to evaluate the definite integral below, what would…

A: Given integral: ∫-144x23x3+64dx We have to use substitution u=3x3+6 to evaluate the new limit of the…

Q: 2) Evaluate the integral and check your answer by differentiating. – 2x dx a) J"(2-x)° dx b)

A:

Q: Evaluate the integral (use the substitution) : 2x + 6 x2 + 6x + 13 dx а. In (x + 6x + 13) + C b. 1…

A:

Q: 4. S 10 dx 4x3-4x²+5x

A: Let's solve given integral by using quadratic factors.

Q: Evaluate the integral . Identify the u and the du. (5x2  +  1 )2  (10x) dx

A:

Q: Consider the integral shown below: π ∫ (ln(x))/((x^2)−2x+2)  dx. 1 Evaluate the integral using:…

A:

Q: Evaluate the definite integral. (a) S, (x³ – 6x² + e-*)dx (b) S G+ 2)dx

A: a) ∫02x3-6x2+e-xdx=x44-6x33+e-x-102 Formula: ∫xndx=xn+1n+1 and ∫emxdx=emxm=x44-2x3-1ex02…

Q: For the integral 4x /x + 8dx, if we use the substitutio 3 u = x + 8, we can rewrite the integral in…

A:

Q: Evaluate the integral. dx (x – 10)(x – 15) Use symbolic notation and fractions where needed. Use C…

A: Here we have to evaluate I=∫dxx-10x-15

Q: Evaluate the following integrals. 1 Use the method of completing the square. |24+10x–x² - 4x² – 21x…

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

Q: d.x -x2-4x

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.