Which integral that cannot be solved by the substitution method? Integral mana yang tidak dapat diselesaikan dengan menggunakan metode substitusi? S tan(x) dx 1. O Sx (x² + 1)100 dx 2. O S(x² + 1)² dx 3. O sin(x) dx cos³(x) 4. O

Q: sin x (3)dx

A: We can find the integration as below

Q: 1. S sin 2x sin x dx

A:

Q: (5-)dx ー3 2人 がー。 Sin(x) d X

A: 3)   ∫-34(5-x2) dx=5x-x24-34                                =54+3-16-94…

Q: |5sin(4x + 5) sin(2x --) dx

A: We need to evaluate the given integral. We will use the formula  Cos(A+B)-Cos(A-B)=-2 SinA SinB

Q: 2x3 sin? x + x4 sin³ x – 3 sin² x + x* cos x 2 . dx x4 sin² x

A: I have stated the used formulas in the solution

Q: tan-x is dx using integration by parts Find x2

A:

Q: x* + 3 dx x² + 3x + 1 4. 00

A: Given: ∫-∞+∞x4+3x2+3x+1dx

Q: V tan x dx Sin (2x)

A:

Q: /2 cos x -dx- 1+(sin x)? Compute the integral

A: Consider the following definite integral: ∫0π2cosx1+sinx2dx Substitute sinx=u→cosxdx=du in the above…

Q: Sx² cosh (1-x³) dx

A: Let the given integral be I - I = ∫x2cosh1-x3dx                   ............(1)Let,t = 1-x3…

Q: j dx (2x-3) 15-12x+cx 2

A: As per the guidelines, we can be answered only for first question. Please repost the rest question…

Q: sin? 6, determine a reduction formula for the 5 By the substitution x = integral 2(1- x)2 dx. Hence…

A:

Q: 1. Evaluate dx sec2 x (a) Ja(x+ 4) (b) A. dx V1- tan?x VT(x + 4)

A: