Question 16 In (ale) (2-sec2x)emlesec'x sec( 3A – x) What should be the value of A for dx to be integrable using the formula "du? A 3 4 6.

Q: What is the derivative of y= 3Arcsin xº, 3 Arcsin x In 3 A y' = 1 - xa 3 Arcsin x* In 3 3 B y' : (а…

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Q: ate: y = tan(rsecz)

A: Please refer to the image below

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Q: What is the resulting integrable form after you applied substitution technique in tanx sec“x dx?

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Q: Integrate: S tan (æ) sec³(x)dx

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Q: eln (R/c) secx - sec?x)" sec(34 – x) "du?? dx to be integrable using the formula What should be the…

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Q: S (sin'x-sinx-x' sin* x+x²sin x) dx ? :-x° sin* x + x² sin x) dx ? What is the value of the…

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Q: Exercises 7 Evaluate: 2 (2x - 3)* dx 5 (2) J 1 dx 0*+3 (3) dx x + 9 x In x dx

A: Find the definite integral

Q: y" + y = sec x tan x

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Q: 21n|sinh (1/2 »)|+C

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Q: #4 f(W)= Sin Lcos' (4w)] %3D f'lw)= ?

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Q: evaluat 죽 Secx

A: The given integral is ∫0π4sec xsec x+tan xdx.

Q: 7. S X e dx - X et + 4e¯x

A: As we know from the exponent rule: xaxb=xa-b And the common integral is: ∫1ax+bdx=1alnax+b+C   The…

Q: QUESTION 2 a) Evaluate the integral | dx (x-5) +5 b) Show that 5+4x - x² = 9-(x-2) by completing the…

A: (a). From the given problem: I=∫5x-52+5dx   ...1 Let, u=x-5So,ddxu=ddxx-5dudx=1-0du=dx

Q: 3. Sxe**(4** – e)dx

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Q: Algebraically prove these formulas are true  r^2=x^2 + y^2 tan theta = y/x

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Q: 1 cotx ln sin-x dx 1 2 9. Scot-x In a/s 2

A: Here is the solution:

Q: 1. S. dx 1 2 x² e² ex

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Q: Differentiate:

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Q: L (sin? t) What is f (t), f' (t) and f (0) ? O b) O a) f (t) = sin t, f' (t) = 2 cost, f (0) = 0 f…

A: We will find out the required solution.

Q: Question 7 Find f(x), when f'(x) = xe and f(0) = 1. A) ²e²² +1 B) re +1 C) 1 D) ez² +2x²e²² E) /e² +…

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Q: Find the derivate of the furchon: 2 a) y = cosh (4x²+ 9) y₁ = c) y = sinh (x) cosh (sx) y = b) y =…

A: We have to find the derivative of the hyperbolic functions

Q: 7) Integrate: ST/A π/4 sec² x 15+ tan x dx 8) Integrate: 1 x(1 + 2 ln x) dx

A: Step 1: Step 2: Step 3: Step 4:

Q: Compute (sin (x)) dx cos'x 3 sin' x cos x O Not listed here 3 sin? x 3 sin x cos x

A: Given query is to find the derivative of the expression.