Evaluate the following. 1.S x sin xdx 1-X dx 2. S 3ex 3. S x² sin 3xdx

Q: dx 1+cosx 2.

A:

Q: 3. Evaluate (1+ sin x) dx.

A:

Q: Evaluate sin 4x dx O a. 0.15 O b. 0.25 O c. 0.35

A:

Q: 1. ſ tan²2xsec*2x dx

A: Let, z=tan(2x)dz=sec2(2x)d(2x)dz=sec2(2x)(2)dxdz=2sec2(2x)dxsec2(2x)dx=dz2

Q: 5. Find the values of a and b such that dx tan 1 + sinx a + b . %3D

A: We need to integrate ∫11+sinxdx

Q: S sin? x dx

A: ∫sin2xdxUse the identitysin2x=1-cos(2x)2∫sin2xdx=∫1-cos(2x)2dx                 =12(∫1dx-∫cos(2x)dx)

Q: x sin 7xdx is a. xcos 7x sin 7x 7. 49 b. xcos 7x sin 7x +. 7. 49 xcos 7x sin 7x +C 7 C. d. xcos 7x…

A: Integral problem

Q: Which of the following is equal to J: x2 dx ? A. sin-1 (t) + € B. sin- (t) + € Option 1 O Option 2…

A:

Q: If fx sin x cosxdx A+B?

A: Given : ∫xsinxcosxdx=12xsin2x+Ax+Bsin2x+C then we have to calculate the value of A+B.

Q: S sins dx cosx 2.

A:

Q: dx sin² x cos²x 10. The value of f; A sinx-cosx+C B. cos x– sin x+C C. tanx-cotx+C D. cotx-tan x + C

A:

Q: 3 .3 S sin 2xcos 2xdx

A: The objective is to solve the integration ∫sin32xcos32xdx Let, 2x=t⇒dx=12dt, then…

Q: 3 S (sin x)*.dx

A: Please refer the attached image for complete solution.

Q: Verify. esc (x) [I-cos(2x)] = 2 sin (x) SC

A:

Q: It is possible that y = 101 in the function y = sin x. - 102 True O False

A: To check whether the given statement is True or False.It is possible that y=-101102 in the function…

Q: T/2 sinx Evaluate the following sinx+ cOS X

A: Introduction :

Q: x² sin 2x dx

A: From integration by parts method we know that, ∫udv =uv-∫vdu From given date ∫x2sin2xdx  Let u= x2…

Q: A. Evaluate. 1 (sinhx - sinhx +coshx cosh?x 1. dx

A:

Q: Scot³ x ( cz) ¹4 dx sec x tan x 5.

A: Follow the procedure given below.

Q: 3- - 플 플 sin²cyl y จน

A:

Q: sin x 6. Evaluate dx. 3 cos x

A:

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: