dx 6. [- xIn x sin 5tdt 7. V1+ cos 5t

Q: 1 + tan² dx

A:

Q: sin x dx 4 3 Show that -

A: The integration can be written as;

Q: 2. ( sin32x dx cos 2x

A: We have to integrate.

Q: y + (cos x) y =3 sinx.cosx

A:

Q: 11. cos4x-cos2 dx sin4x-cos2x

A:

Q: d/dx -2(sin2x+cosxsinx)

A:

Q: - sinx) dx 2. 1. (COSX (ax' +b)*x dx 2. 2/3

A:

Q: dx sech x (3 +5 sinh x)

A: Please see the explanation below.

Q: sin 3x dx 3-10cos3x 10.

A:

Q: Show that Cosx dx 9- Sin 3D

A:

Q: sin 2x (1 - 2 cos 2x)? dx 6.

A:

Q: T/2 COSX dx (2 +3 sin x)

A:

Q: 4加 T (In cos x) Beca Cos X

A:

Q: 25+16 x² (2, Sinx 3 + Cos? x xp 2

A: According to the fundamental theorem of calculus ∫f(x)dx=F(x), where dFdx=f(x). The definite…

Q: csch (2 sin2x)dx 1. 1– 4x²

A:

Q: 3x dx 1. S 2x 4-1

A:

Q: cos xdx 54-sin²x

A:

Q: Find cos x + sin 2x dx 19. sin x

A:

Q: cos dx 5. Vaš sin² 3

A: Consider the integral: I=∫cos6x23dxx25sin23x23

Q: ~|J O 1- Cos 2πTX) dx L x (1. 2

A:

Q: -22 (sinhx+coshx) dx

A:

Q: sin6x 5. S 4sin?3xcos3x

A:

Q: 11cot 2x dp- sin? 2x

A:

Q: ∫(π/2) cosx dx 0

A:

Q: L{2tcos2t + sin2t}=

A: The Laplace transform of a function f(t) is given by;

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: