(b) Solve the following integral using the integration by parts method. x2 sin тx dx (ii) e* cos 3x dx

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt

A: ∫un du =un+1n+1+C

Q: Match the Integrals on the left side with the appropriate techni Prompts dx 3+5 cos x sec'x dx dx…

A: As per Bartleby guidelines we're supported to answer only first three subparts. Kindly repost rest.

Q: Find the indefinite integral. (Use C for the constant of integration.) cos 6x cos Bx dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) x2 dx 49 – x2

A: With the help of trigonometric substitution we can easily solve this question. Try putting x=7sin(t)…

Q: Find the indefinite integral. (Use C for the constant of integration.) tan2 dx secº x

A: The objective is to evaluate∫tan2xsec5xdx. The formula for integration is ∫xndx=xn+1n+1+c

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

A:

Q: In the given equation as follows, use integration tables to find or evaluate the integral :- see the…

A: ∫0π2x1+sinx2dx Consider, ∫x1+sinx2dx Now put, x2=t⇒2x=dtdx⇒x dx=dt2 Therefore,…

Q: Evaluate the integral. (Use C for the constant of integration.) (8x + 7 sin(x))? dx

A: Answer is given below....

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sin(3at) dt

A:

Q: S 4x cos(2 – 3x) dx

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) [07- 7i- 8tj + In(t)k) dt.

A: Given the integral                    ∫(7i-8tj+ln(t)k) dt

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | Vx19 sin(4 + x21/2) dx…

A: Since the exact one wasn't specified we'll answer the first question only. Please resubmit a new…

Q: Find the indefinite integral. (Use C for the constant of integration.) | (2 cos x + 9 sin x) dx

A:

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

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

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Q: Find the indefinite integral. (Use C for the constant of integration.) cos 2x cos 4x dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) cos5 t dt sin t

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos X dx 3 + sin x

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) ∫(sin…

A:

Q: Find the indefinite integral S(2x2 – 1) sin(5x) dx using integration by parts.

A: The given integral can be split into two parts as follows, ∫2x2-1sin5xdx=2∫x2sin5xdx-∫sin5xdx…

Q: Solve the following integral by drawing the bounds of integration, reversing the order of…

A: The limit of the integration is  y = (1/2) x  to y = 2 And x = 0  to x =4 Now order will be revereto…

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 7 sin x) dx

A: Given the integrationI=∫(4cosx+7sinx)dx

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) | cos(T/xi) x12 dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(4) cos³(4) dp

A: Given integral is  Let us take

Q: Find the general indefinite integral. (Use C for the constant of integration.) (Sx² + 8 +) dx 4 x2 +…

A:

Q: In the integration of (cos y)^2 dy/(1- sin y), what is the first step to solve the integral? *

A: Given,          ∫cosy2dy1-siny

Q: Find the indefinite integral. (Use C for the constant of integration. sin 4x sin 3x dx sin x sin 7x…

A: Solution is given in step 2

Q: Evaluate the integral. (Use C for the constant of integration.) 10 sin(2x) dx 1 + cos“(x)

A: Answer is -10arctan(cos^2x)+C.

Q: Find the general indefinite integral. (Use C for the constant of integration.) / (2x² + * + dx x2 +…

A:

Q: Use integration by parts to evaluate the integral: ∫sin(−12r)/e^2r

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 2 4x2 + 8 + dx x2 + 1

A:

Q: E. Find the indefinite integral. -dv 1+ 7v

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (4 cos x + 5 sin x) dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) xp -8 cos +C x

A: Here we have to find the indefinite integral.

Q: Find the indefinite integral. (Use C for the constant of integration.) (8 cos x + 7 sin x) dx

A:

Q: Find the indefinite integral. (Use c for the constant of integration.) cos° x sin x dx ()30 + 30+

A:

Q: Solve the following integrals: i. S(e** cos(2x)) dx using integration by parts or tabular method.…

A:

Q: Find the general indefinite integral. (Use C for the constant of integration.) 3 8x2 + 7 + dx x2 + 1

A: Given : ∫8x2 + 7 + 3x2+1dx

Q: Evaluate the integral. (Use C for the constant of integration.) 9 cos5(x) sin*(x) dx

A:

Q: Find the most general antiderivative or indefinite integral. 2. cos 7x - csс"x) dx

A:

Q: Use integration by parts to evaluate the integral: ∫e^2r sin(−2r)dr

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 9)sin(xx) dx

A:

Q: Find the indefinite integral ∫ dx / (4 + x)3/2 (a) using a table of integrals and (b) using the…

A: a) ∫dx4+x32 Apply u- substitution : u=4+x du=dx plug all this values in given integral and then…

Q: cos5 0 sin 20 de

A:

Q: 1. Evaluate these integrals either by substitution or by integration by parts: cln 2 et a sin(2r) dr…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate the integral. (Use C for the constant of integration.) 9 sin(2x) dx 1 + cos“(x)

A:

Q: 6) Use the successive approximations method to solve the following Volterra integral equation: (x 2

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) 15 COS x sin x dx

A:

Q: Find the indefinite integral. (Use C for the constant of integration.) (5 cos x + 7 sin x) dx

A: ∫5cosx+7sinx dx∫5cosx dx+∫7sinx dx

Q: Q.4 Use the integration by parts to evaluate the integral. V3 2 sin-1 x dx

A: