1. Find if tan() a. y = %3D

Q: a dy ピ+3

A: Given

Q: S tan 1x dx

A:

Q: S. S. dy dx

A:

Q: 1. ſ ev¤dx

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 7. S tan 5x dx

A: Using integration

Q: 1. Evaluate (i) dy dx, 3

A:

Q: h) Ž() Sn

A:

Q: Evaluate (a) e* dx.

A: The value is, 24  The detailed solution is as follows below:

Q: Soa cos vax dx

A:

Q: TX sin dx

A:

Q: S cos32x dx.

A:

Q: Fined the inteym Sx cosx da @ S cos?x dx X COSX tan'x dx

A:

Q: (x?1) ore sin2x dx

A: Integrate by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫df(x)dx·[∫g(x) dx] dx +C

Q: S. 3 Estimate tan x dx using the midpoints of 6 rectangles.

A:

Q: Evaluate. S(sin x)e* dx

A:

Q: S se ex dx

A: LetI=∫sec3(x)dxI=∫sec2(x)sec(x)dxApply integraion by…

Q: 22. Evaluate So Si S dx dy dz.

A:

Q: Lo arctan(x)dx

A:

Q: S tanx It Cosuy dx

A: Topic:- application of integration

Q: S tan — х) dx

A: To integrate: ∫tan(x4-x)dx Solution: Given, ∫tan(x4-x)dx On simplifying further we get:…

Q: Evaluate

A:

Q: Evaluale the to 312 bwiny dx 12

A:

Q: a. y = cot¯(Ve") tanh(e") -1

A: Since you have asked multiple questions in single request so we will be answering only first…

Q: 2. I cosh ix dx

A: The given integral is ∫cos14xdx. Evaluate the integral.

Q: If y? In(x) = 5, find dy/dx. dy dx

A: This question is based on differentiation with respect to x.

Q: Evauate the below 1 dx 4+5cos x

A:

Q: . Scos(In x) dx

A: Formula used in integration by part   ∫ fg' = fg -  ∫fg'

Q: 13h dn.

A:

Q: S tan 2x dx

A: Consider the given integration. I=∫tan2x dx Use trigonometric identity. tan2x=sin2xcos2x So,…

Q: s sinzx cosx dx

A:

Q: S tan(x) dx

A: We have to find integration of tan(x) in the given question.

Q: S Arctan2x dx

A: This is to be solved by the technique called integration by parts

Q: (e) S, In|x| dx.

A:

Q: 1. For what values of p is O'dx?

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

Q: dr(sec'x) dx

A:

Q: Use the reduction formula for tanh^10

A:

Q: Differentiate the following. 4. 11 y cosec (sec x') 43 tranh2x

A: We need to differentiate the above two expressions with respect to x.

Q: 8. S dx

A:

Q: Find (d/dx) ((e^x-ln(x))/(tan(x)-xcos(x))

A: The given expression is,

Q: e Th

A:

Q: the da entia Dn.

A:

Q: Kindly sotve por : Dx (In | v | ) = Dx ((tan (3x) - In | 2x| + ( x³ - In | e|) - In | Inx | )

A: On differentiating Lhs: ddx(ln y)=1y.dydx on differentiating Rhs: ddx( tan(3x).ln|2x| +…

Q: 7 dx = x3

A: ∫xndx=xn+1n+1+C1xn=x-n

Q: 6 ven cos a = wh 15'

A: Use inverse trigonometric ratio

Q: In (x) -dx is equal to x2 The numerical value of

A: Given is an integration and we have to find it's numerical value. Here, we use the Integration by…

Q: S cos 8x dx

A:

Q: S tan* dx

A: Using , Trigonometry formula and integration rule

Q: o find d (tan Lseex) dx

A: See the attachment

Q: S tan-Vx dx =

A: Using substitution and formula of integration by part.

Q: 19. S.cosTa de cos7x dx 5

A: