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Q: sinx dx 7+cos?x 1 arctan /7 (COSX V7

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Q: evaluate using the appropriate method or combination of methods.

A: Use 2sinA*cosB=sin(A+B)+sin(A-B) formula

Q: 3. cos? (z) sin“ (2) dz

A: Given, The integral is,

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: I-Shinx dx Ig-/sin'xdx 2-x2 dx

A: We have to evaluate the above integrals. NOTE - According to our guidelines we have to answer only…

Q: cos 2x 12) S 2cos2x sin x – sin x dx -

A: To integrate:∫cos2x2cos2xsinx-sinxdx Solution: ∫cos2x2cos2xsinx-sinxdx On simplifying further we…

Q: 26. Evaluate sx sec²(5x²) dx a. 2 sec (5x) tan(5x2) + C b. 20 1 tan (5x) + C c. 10 tan (5x?) + C d.…

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Q: dy -y'sinx is: dx The solution of Select one: a. y3cosx+ C O b. %3D COSX-C C. V=3 CO5X + C d.…

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Q: 4. sin (5x + 22) = cos (4x + 14). Find x.

A: Equation is given by                sin(5x+22)= cos(4x+14)   ---(1)       formula which is to be…

Q: そ COS X d x Sin X

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Q: 2r sin 1 (r²) d»

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: 14. Evaluate cos 3x+ dx. 2

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Q: find

A: Given,           y=2sin22x*3tan-12x

Q: General Sol. of  y' tanxsin2y= sin2x+sin2y is

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Q: 3D5 in.

A: The area of the circle can be computed using the formula: Area=π r2 Where, 'π' is the constant value…

Q: sin x 6. Evaluate dx. 3 cos x

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Q: B) y = -4 Sin ( 2x ) +4 b. a. 3m d. 144

A: We have to find

Q: Exercises To Solve [No.5] 6 "Cosx dx. Sin²x+25inx+5

A: Here is the solution

Q: M tan? x dx

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

Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: Show that 3(sinx-cosx)*+6(sinx + cosx)²+4 (sinºx+cos°x) = 13 %3D

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Q: 5. sin n° x cos x dx >

A: The question is taken from the calculus in which we have to find the value of the given integral, We…

Q: COS X+ 3sin 2X

A: It is given that y''+y=cosx+3sin2x. We have to find the general solution of the given…

Q: f Lan 2X e *3 of +sec2X Pinel dy o

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Q: 2. (tan5 4x tan² 2x sec2x)dx

A: To solve the given integral, we can use the substitution method.Let's substitute u = 2x, then du = 2…

Q: Find 2: (a) y = cos(1 1x + 5x)

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