Į sin 2xcos 2xdx

Q: 20 sin 30 d0

A: ∫ e2θsin3θdθ=-3e2θcos3θ13+2e2θsin3θ13+C

Q: T/2 sin © de

A: Let given integral is

Q: S(1 + sinx)-1sinxdx

A:

Q: 子メす (Xus) so=(x)ま 1o41すI

A:

Q: dy Find if 6x? sin3x y =

A: Given, y=6x2sin3x   ANSWER: 18x2cos3x+12xsin3x EXPLAINATION: From formula,…

Q: り plot s XE[-2T,27] Sin3X „Cas2X,

A: a.  Given function is, f(x)=e-x2 We find that f(0)=1 and when x→±∞, f(x)→0 So, the graph will be,

Q: 6. y=T sin 2r

A: To graph and identify the periody=πsin2x

Q: 2. sin 4x da =

A: Given query is to find the integral of the expression.

Q: y = 2 sin 2x

A: Given- y=2sin2x To Rewrite- The above function in the expansion form. Formula Used- sin2x=2sinx·cosx

Q: i. S(sin(4x) + cosh(3x))

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

Q: 2. y = Ce*cosx + C2e*sinx

A: It is given that y=c1excosx+c2exsinx. The derivative of y=c1excosx+c2exsinx is computed as follows,…

Q: Determine L{sin(4t + 5)}.

A:

Q: -4e sin(7y) 4e sin(7y) ду

A:

Q: Find Lte " sin 41]. -2r

A:

Q: y = 2e cosx

A:

Q: I+ Sin2X t Cos 2x COSX

A: Given,           1+sin2x+cos2xcosx

Q: 12) y = 3 cosx + X

A: we have to locate the graph of the function y=3cos(x+π4) to locate this we will put the values of x…

Q: 3. f sin√tdt

A:

Q: (sin 3x sin 2x dx 3.

A:

Q: 2r sin 1 (r²) d»

A:

Q: Evaluate ∫ 3x2 sin(x3) dx.

A: To evaluate the integral  ∫3x2 sinx3 dx

Q: 2 sin (3x) d%

A:

Q: Evaluate * sin (x²) dxdy y

A: The integral is bounded by the curves: x=y,x=π,y=0,y=π The region is as shown below,

Q: 2. S sin 2xcos5xdx

A: To evaluate:∫sin2xcos5xdx

Q: e" sin (5x) dr

A: I=∫exsin5x dx

Q: Sr12 (sin 2x)(ecos2x)dx π/2

A:

Q: Sketch : 3 sin (x-T/4) +2

A: Start with the standard trigonometric function y = sin(x) and transform it to get the graph…

Q: y= sin2x,

A: Given equation is: y=sin2x Differentiating with respect to x we get, dydx=ddxsin2x⇒dydx=2cos2x

Q: $66)=Sinx+ Cosx %D

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

Q: Cπ/2 sin² 3x dx

A:

Q: sečxdx ztanx 5-9tarix ansi sin 2

A: Solution is done in step 2

Q: •TT/6 4. S sinx sin2x sin3x dx

A:

Q: SAT/2) [cosx/(1 + sinx)dx = 1

A:

Q: 2人 x = 6 sin? 2y

A: The given equation is Now, we have to show that,

Q: b) SE cos(3x) sin(3x) 18

A:

Q: So sin(x)dx

A:

Q: 2) y = sin(3x²ex)

A: Find the derivative

Q: Q1/A/ Sketch 7 + 4 sin 0 + 3 cose

A:

Q: dr (g) sin(2x) + 4 sin r

A: Sorry we can answer first question as per honor policy. Please resubmit other question as well to…

Q: 1 17. Evaluate (4x? + 20* – 3e2x + + sinx)dx

A:

Q: -2 ' = cot (sinx') 3 3 Find (y') xsec x %3B

A: Given, y=cotsinx3

Q: sin6x 5. S 4sin?3xcos3x

A:

Q: Sin'xdx=?

A:

Q: 元 店sit sin? 4x cos² 2x dx

A:

Q: 11cot 2x dp- sin? 2x

A:

Q: Find I see sec42x tan 92 dx

A: The objective of the question is evaluate the indefinite integral.

Q: 30 sin (30²) d0 %3D

A: ∫3θsin(3θ2)dθSubstitute u=3θ2→dudθ=6x→dθ=16θdu=12∫sin(u) duWe know that ∫sin(x)dx=-cos(x)

Q: Se -4X Sin h (ex)dr

A:

Q: Pind the deriatie Y=-5 Sin (4x)

A: By using differentiation formula, we calculate the derivative of given function.

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.