b) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x? + x + 1)Sinxdx ii) fx³ V2x + 1dx

Q: Evaluate the integral. (Use C for the constant of integration.) | 3z3e? dz

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 6 tan(x) sec³(x) dx

A: We have to find

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 16 +…

A: Integration by parts:∫uvdx = 4∫vdx - ∫[ddx(u)∫ vdx]dx

Q: 14 Find the integrals using integration by parts. Lx(x + 4) dr --2

A: Given that:(a) ∫x(x+4)2dx

Q: Evaluate the indefinite integrals using Tabular Integration by parts. i) S (x² + x+1)Sinxdx ii)…

A: Let fx=x2+x+1 and gx=sinx. Tabulate the functions f(x), g(x), the derivatives of f(x) until it reach…

Q: Evaluate the integrals using integration by parts. ∫x sec2 x dx

A:

Q: x sec (3x) tan (3x)dx

A: We use integrate by parts to solve the given integral.

Q: a) Evaluate the indefinite integrals using Repeated Integration by parts i) fx²e-2*dx ii) fx?Sinxdx

A: We have to evaluate the given integration.

Q: a) Evaluate the indefinite integrals using Tabular Integration by parts. i) (x² + x + 1)Sinxdx ii)…

A: Given: I1=∫x2+x+1sinxdx, I2=∫x32x+1dx For evaluating I1, we will use integral by parts theorem…

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) x…

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Q: a) Evaluate the indefinite integrals using Tabular Integration by parts. i) ſx³ V2x + 1dx

A:

Q: Evaluate the integral 6. dx x2 V16x2 – 9 | Note: Use an upper-case "C" for the constant of…

A: Solve the given integral

Q: Use IBP to evaluate the indefinite integrals. 1. ∫ x³sin x dx 2. ∫ sec³ x dx 3. ∫ x cot² x dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) cos3 sin2 dt

A:

Q: Use the tabular method to find the indefinite integral. (Use C for the constant of integration.) (x…

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Q: Find the inde finite integral. (Use C for the constant of integration.) -5 dx (x2 + + 5)3/2

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Q: Evaluate the integrals using integration by parts. ∫ x sin x cos x dx

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Q: Use the tabular method to find the integral. (Use C for the constant of integration.) 3x3 sin(x) dx

A: The given integral is ∫3x3sin x dx. ∫3x3sin x dx=3∫x3 sin x dx ddxxn=nxn-1∫sin xdx=-cos x+C∫cos…

Q: Evaluate the integral. (Use C for the constant of integration.) 3 tan (2x) sec (2x) dx

A: Given that: ∫3tan3(2x)sec5(2x)dx

Q: Evaluate the integral. (Use C for the constant of integration.) | 2 tan (x) sec®(x) dx C must be in…

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Q: Evaluate the integral. (Use C for the constant of integration.) 11 tan“(x) sec (x) dx

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Q: Evaluate the integral. (Use C for the constant of integration.) 75 – 10x – x² dx

A:

Q: Evaluate the integrals in Exercises using integration by parts.

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: b) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x² + x + 1)Sinxdx ii)…

A: Answer

Q: Evaluate the integrals using integration by parts. ∫x2 sin x dx

A: Given: ∫x2sinx dx

Q: Find the general indefinite integral. (Use C for the constant of integration.) 7x2 ) dx

A:

Q: | 2х cos(2x) dx

A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

Q: Evaluate the integral. (Use C for the constant of integration.) 19z3e? dz

A: Explanation of the answer is as follows

Q: Evaluate the integral. (Use C for the constant of integration.) 1- 36x2 dx

A:

Q: Evaluate the integrals using integration by parts. ∫ ex cos 2x dx

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Q: Evaluate the integrals using integration by parts. ∫x2e-x dx

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Q: Use integration by parts to evaluate the integral. (7) [x sec x tan x dx

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Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(5x)…

A: Given , the integral We have to evaluate the integral by using by parts formula.

Q: Evaluate the integral ( Use C for the constant integration) ∫ 11 tan4(x) sec6(x) dx

A: I=∫11tan4x×sec6x dx=11∫tan4x×sec4x×sec2x dx=11∫tan4x×1+tan2x2×sec2x dx                      ⋯⋯(1)

Q: Use integration by parts, together with the techniques of this section, to evaluate the integral.…

A:

Q: Match the integrals in the left column with the correct evaluation method in the right column. Using…

A: We have to match the left  column with the right column.

Q: Evaluate the integral. (Use C for the constant of integration.) 7 (1 – tan²c«) dx sec?(x)

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the integral. (Use C for the constant of integration.) ] = 5 tan(x) sec³(x) dx

A: The given integration is: ∫5tanxsec3xdx To find the value of integration.

Q: Evaluate the integral. (Use C for the constant of integration.) 8 tan(x) sec³(x) dx

A:

Q: 3. Change the order of integration sin dydx. Hence, evaluate the integral. y

A: Sol ∫0π∫xπsinyydydxChange order of integration =∫0π∫0ysinyydxdy

Q: a) Evaluate the indefinite integrals using Tabular Integration by parts. i) S(x² +x + 1)Sinxdx

A: Given: The integral  ∫(x2+x+1) sin(x) dx

Q: Evaluate the integral. (Use C for the constant of integration.) 5 tan(x)sec^3(x)dx

A:

Q: Use the Table of Integrals to evaluate the integral. (Use C for the constant of integration.) 25x2 +…

A: I am attaching image so that you understand each and every step.

Q: Use integration by parts to evaluate the integral. (Use C for the constant of integration.) In(4x)…

A:

Q: Using integration by parts, the integral f In(16x*) dx is equal to:

A:

Q: Evaluate the integrals using integration by parts. ∫ tan-1 3x dx

A: Now,

Q: Evaluate the integral | 2 cos(In(x)) dx, x > 0 Note: Use an upper-case "C" for the constant of…

A: Given information: The integral is ∫ 2coslnxdx. Concept used: Integration by parts: ∫udv=uv-∫vdu…

Q: Using tabular integration, the integral In 2 S™ (-2x + 1)e²x dx is equal to

A:

Q: Use integration by parts to evaluate the integral. ∫xe^4x dx

A:

Q: 4) First make a substitution and then use integration by parts to evaluate the integral. (Use C for…

A: