xdx 2. V3x +5 sin 4x 4. 9+8cos 2x

Q: In (メ+リ1+x2 dx

A:

Q: f(3x² cot 2x³ csc 2x³) dx O-csc 2x³ + C CSC O csc 2x³ + C Ocsc 2x³ + C CSC O-csc 2x³ + C

A: We can solve as follows

Q: and

A: We will find the value of x.

Q: Differentiate implicitly 14. 4√x – 8√y = 6y²

A:

Q: ® y"+zy'+3y=27x

A: Question 1 is solved. Solving more questions are against the policy of bartalby.  Find roots using…

Q: 2+1 dt

A:

Q: x² + 4x - 4

A:

Q: 6x4-5x3 +4x2 - 3x + 27 dx. Find 2x2

A:

Q: 2 3 Sźcsc(ln[5x²])cot(In[5x²])/csc(In[5x²]) + 5dx

A: To evaluate the following integral. ∫27x cscln5x2 cotln5x2 cscln5x2+53 dx

Q: X2 dx ex+3

A:

Q: S sec4e tan30 de

A:

Q: Find VU 5х - 1 11x + 1 T U 16

A: Given, VU= (5x-1)   UT= (11x+1) and     VT=16

Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply & divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: 3t test cos 6t

A:

Q: csc² 6. 2 2 Cs dx

A: In this question we will use basic of calculus i.e concept of integration. We will simply use…

Q: vei The ldentit CX Tanxt SEEX-CSCX Tanx-

A: Prove the identity.

Q: You are given the graph of a function f. 411 -3-2-1 123 -1+ Determine the intervals where the graph…

A: Concave upward, concave downward and inflection point can be determined from the following figure

Q: 2x+1 dx.

A:

Q: 4-X 2-3X dydx

A:

Q: find dy / dx for Hhe tellowing in (sec EX) In (cosp?}

A:

Q: 2х + у dy 3+ 3у? — х dx 3.

A:

Q: 4x-2 dx 27x-8

A:

Q: 2 15х? -13 dx - 14х За +2

A: We will apply long division to solve integral

Q: You are given the graph of a function f. يجا 2 concave downward 3 4 X Determine the intervals where…

A: Concave downward and concave upward can be determined from the following figure.

Q: 3. [xsechtr'dx 5. (secht2tdt

A:

Q: 2 x -dx 6. Jo 1-x

A:

Q: dæ 9 - x2

A: Given data:   The given expression for the integration is:. Assume x=3 sint, differentiate it both…

Q: 6 8. 6x - 3y = 15 4x – 3y =-5

A:

Q: x+1 3. Jx2 + 2x

A:

Q: 21 (3coshm +eoshm sinhmdm

A: integration ∫3coshm+ecoshm2sinhmdm

Q: Determine S5x? cos 2xdx

A: Given query is to evaluate the integral.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.