csc(x)=7  sin(x/2)=? cos(x/2)=? tan(x/2)=

Q: 2. LOshx-Sin hx1 2. Co

A: We use hyperbolic Trigonometry identies

Q: cos-1 3x dx 3 – 1 – 9x2 * tan-1x dx 1+ x2 4 - n/2 5 –

A:

Q: Iim tan³x X10 1- Cos2x

A:

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: x – sin 2x -dx x + cos2x

A:

Q: S sin5 3 x cos' 3 xdx

A:

Q: 28. Cos xdx

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

Q: Evaluate the integrals

A: We have to evaluate the integral;  13) ∫ln4ln9ex/2 dx14) ∫tanxln(cosx) dx

Q: cos(x) / 16 - sin2(x) dx

A:

Q: Calculate sin(x) -dx. √cos(x)

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: 1-cosx Sin 2x dx

A: Given:  To Find: To evaluate the given integral.

Q: 15 cos(x) + 4 sec (x)dx

A: 1) I=∫15 cosx+4 sec2xdx =15∫cosx dx+4∫sec2x dx =15 sinx+4 tanx+c   (c- constant if integration)

Q: Solve: cos x ta² x = 3 cos x, 0sx< 27.

A: Given trigonometric equation is: cos x tan2 x=3 cos x ; 0≤x≤2π We have to solve this equation for x.

Q: cos x csc3 x + C sin4 x 1.

A: To evaluate the given integral.

Q: 18. sin³ x cos x dx

A: Here we will use substitution method for solving this problem

Q: Find /e2x sin(2x)dx

A:

Q: Find cos(4x) sin(4x) da.. To cos(4x) sin(4x) dx : =

A:

Q: cos? (x) 5 x²e* 6 V1 – x³ 4 - ex 7 sinh(x) 8 x² arctan(x) 9 1- X

A:

Q: 2 cos (x2) - 4x 2 sin (x2)

A: 2 cos (x2) - 4x 2 sin (x2)

Q: cOs x dx sin² x+ 2 sin x+5

A:

Q: sin(-4x) cos 3x dx 1. 3

A:

Q: | cos²x dx 1- sinx cos-x

A: Given. f(x) = cos2 x/(1-sinx) We need to calculate the indefinite integration of above function

Q: S sin-1 3x dx

A:

Q: Find y' of tan x = Sin y -2x5

A:

Q: Cos 4x S cos 2x-sin 2x dx

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Find sin 2x, cos 2x, and tan2.x if sinx= -- 3 and x terminates in quadrant IV. V13 sin 2x cos 2x tan…

A:

Q: 2x sin-1(x²)dx =

A: This question is taken from the indefinite integral in which we have to choose the correct option…

Q: sin2x -dp- cos x+cos*x-2cos?x

A:

Q: Find ∫sin23x cos 3x dx

A: Given:                  ∫sin2(3x) cos(3x)dx   Integrating:                    Let's apply the…

Q: 4. (e) sinx-cos" xr sinx-

A: Since you have posted multiple questions, we will solve only first question for you. To getremaining…

Q: tan 2x dx 2. S (3+ln cos 2x)6

A:

Q: ,(xsinx+cos.x)x'cos"x - x sinx + cos.r cos³ 3 dx x°cos?x

A:

Q: Differentiate  x sin−1(x)  with respect to sin−1x.

A: Using derivative of one function w r to another function.

Q: 1=[", 64 cos(nx) dx x* -16 -08-

A: We have given integral, I=∫-∞∞64cos(πx)dxx4-16 We need to solve that integral.

Q: 106)Find the nth derivative of cosx cos2x cos3x AND ALSO FIND S dx sin?x

A: Cos2x = 2cos^2x -1

Q: cos(2x) dx 2 (sin(2x)+5)*

A:

Q: cos 2x cos.x+ sin x xp-

A:

Q: . Evaluate cos 3x sin² 3x dx

A:

Q: 4x 3x + cos (2x² + 1) tan? x) x (1+ sin² dx

A: Here We have to evaluate;  a) ∫4x3x+cos(2x2+1)dx b) ∫tan2x(1+sin2x)cos2xdx

Q: If csc 0 = 2, calculate an e sec () sin² 0 exactly.

A: We use cosec x=1/sinx and tanx=sinx/cosx,secx=1/cosx. See 2nd step.

Q: Find ∫ sin 2x/( 2 + cos x) dx.

A: The integral is ∫sin2x2+cosxdx.

Q: 1 dp- sin x cos x cos?,

A:

Q: Find x cos(x)-sin(x) = 0

A:

Q: 5x cos dx 2 x3 cos 9x dx X' COS

A:

Q: Find ∫sin 5x cos 4x dx.

A: Given, ∫sin5x.cos4xdx