5nx (2пл-п) The value of the integral:, sin ) sin [en dx Select one: O a. 0 when n = 5, 1 when n # 5, O b. 0 when n = 3, 1 when n # 3, c. 1 when n = 5, 0 when n + 5, x O d. 1 whenn= 3, O when n + 3,

Q: Find ∫ tan t sec2t dt  two different ways using the substitutions A. u=tan t B. u=sect C. Show…

A: Given: ∫tan(x) sec2(t) dt

Q: Evaluate the following integral (sinx-cosx) (1+cosx+sinx) dx Select one: o -In(1+ sinx+ cosx)+C O…

A: Perform integration

Q: y" +/ sin a = 5 + e %3D

A:

Q: Evaluate the following integral (sinx- cosx) xp- (cosx+sinx) Select one: O tanx- cotx+C O…

A: Given that  The integral is  To find the value of integral

Q: Get the solution: x^2 dy/dx - y^2 = 2xy

A: Get the solution: x^2 dy/dx - y^2 = 2xy

Q: 41. | sin &r cos 5x dr

A: This integral can be done by using the trigonometric formula In the given question a=8x and b=5x…

Q: Evaluate LE, sin't dt (Identity needed here)

A: Given integration is ∫-π3π3sin2(t)dt We know that,…

Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

A:

Q: Scotx dx sin 2x cos' 2x dx g. i

A: To evaluate the given integrals by substitution method.

Q: evaluate  0∫π 0∫1 1/6∫1/2 xy sin z dxdydz

A:

Q: Integrate sinx given integral by 20 2 w5 x= sing the using sin: 1 + si

A:

Q: rt01+sin x +00 -dx x2

A: Here we will use  integration by parts  ∫uv dx= u ∫v dx -∫dudx∫vdxdx

Q: 2 6 f sec 0 tane de

A: To Find : ∫sec2θtan6θdθ

Q: Prove in details -=S (-yr है न 81 ૨ (15) 820 er (Four) لمی 213

A:

Q: What is the integral of tan x dx?

A: We need to find ∫tan xdx Now, tanx=sinxcosx Therefore,  ∫tan xdx=∫sinxcosxdx

Q: Sin (x) n=

A: I am going to solve the given problem by using some simple calculus to get the required result of…