Solve for the indefinite integrals of the following functions. Show a COMPLETE set of solution then box your final answer. 1. S(6sin?x + cos?x) sin2x dx

Q: dx Find xV5+ x2 sinh- V5 + 1 sech +C 1| Cosh V5 sinh 5. csch + C

A: We have to integrate in the given integral.

Q: How many positive real roots are there in the equation 7x+5x+3x³+x=0? a. 2 b. 0 c. 3 d. 1

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Solve it cos(x - x²) dx

A: We have to solve ∫01cosx-x2dx We know that cosA+B=cosAcosB+sinAsinBcosx-x2=cosxcosx2+sinxsinx2

Q: S sin(V2x)dx = sin(V2x) – V2x cos(v2x) + c %3D

A:

Q: sinx c. Evaluate the integral dx 1-cosx using Karl Weierstrass substitution. |2x-1 x+7 x+ 4| d.…

A: Given Data The integral is . The matrix is:     (c) Let, 1-cos x=u   Differentiate the above…

Q: Find d²y/dx² of Y= x cos (5x)– sin? x

A: Given: y=xcos5x-sin2x

Q: Solve by separation of variables dy dx = cos 2x

A: We have given given D.ESolve by using variable seperable form.

Q: Question 1 Determine 1.1 y= of the following and simplify if possible. dx x√√1 + x² 3x

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: T 3 x* sin (x) dx 3

A:

Q: dx = ? 4 sin x – 3 cos x+5

A:

Q: Solve the following equation for 0, where 0 <0 < 2T. 1– cos20 sin (-0) COS 2/3 3.

A: We want to solve the given equation in the given domain. Only possible values of theta lies in…

Q: Solve sin(6x)cos(11x) cos(6x)sin(11æ) = 0.2 for the smallest positive solution. Give your answer…

A: The objective of the question is determine the value of"x".