Sin? x cost x dX X COS X d

Q: sec' x dx 1– tan x

A: We will find the integral as following.

Q: s.fx 5. x3 sin 3x dx

A: We have to find the indefinite integral

Q: cosyx X,

A:

Q: CSCX cotx dx 2. cs Ć x d X CS C

A:

Q: у ху X Sin X

A:

Q: sec²x dx V 5 - sec2x

A: Given that the integral  I = ∫sec2x5-sec2xdx let sec2 x = tan2x + 1 I = ∫sec2x5-tan2x+1dxI =…

Q: 14 sin x dx I3D

A: Will use the properties of definite integrals to solve this question

Q: Differentiate y= x² cos x tan x

A: To determine:

Q: 3. tan x dx

A: Formula: tan2x=sec2x-1

Q: Je* cos x dx ex

A:

Q: J sin“ x dx е.

A: Let,    I = ∫sin6xdx  .....(1)  = ∫sin5x.sin x dx    Now we solve this integration by using rule of…

Q: COS Cos($2X +1) dX

A:

Q: sin x dx 2+ cos x 4. - T

A:

Q: sin? x cos“ x dx. 4

A: We have to find integration of sin²x.cos⁴x

Q: COS x dx sin? x 3.

A: Given: I=∫cosxsin2xdx For evaluating given integral, we substitute sinx=t…

Q: 22. sin x 2 dx -11 + x²

A:

Q: 3. x4 tan x dx

A: Here given function is odd function so directly it is zero

Q: 3 sin x d.x 4 1. Show that

A: