Integral Of Arcsin

What is the integral part of the arc at 2x?

. "Arcozin (2x) dx

Merge after part

IU = arc sign (2x): do = 2 dex / ˆš (14x 2)

Dv = 1dx: v = x

. "Arxon (2x) dx = uv ˆÂ" video

= x arc (2 x)  x 2 x dex / ˆš (14x 2)

= Or 14x 2 = y

8x dx = dy

2x dx = dy / 4

= x arc (2 x) + 1 / 4 y dy / ˆšy

= x arxon (2x) + (1/4) / y / (1/2) + c

= x arxon (2x) + (1/2) + y + c

Change y = 14x 2

= x arxon (2x) + (1/2) ˆš (14x 2) + c

Integral Of Arcsin

Integral Of Arcsin

2x DX command

Use peer-to-peer integration to solve problems

Enter u = arc 2x du = 2 / sqrt (1 (2x) 2) in dx

dv = dx v = x

x arc 2x 2àˆà «â« x / sqrt (1 (2x) 2) in dx

x arc 2x 2àˆà «â« x / square (14x 2) in dx

Let's say W = 14x; 2DW = 8xDX

x Inner Arc 2x + 1/4 ˆÂ ˆÂ 1 / Square (W) DW

x Arc 2x + 1/2 in square (W) + C

x in arc 2x + 1/2 square (14x 2) + c

(1/2) * 1 / š (1 4x 2)

Integral Of Arcsin

Integral Of Arcsin

What is the essential part of the arc at 2x? ۔

ar "Arcosin (2x) dx

Merge after part

let u = arc sine (2x): du = 2 dx / ˆš (14x 2)

dv = 1 dx: v = x

ar "arcsin (2x) dx = uv ˆÂ" vdu

= x arxon (2x) «« 2 x dx / ˆš (14x 2)

= Or 14x 2 = y.

8x dx = dy.

2x dx = dy / 4.

= x arcsen (2x) + 1 / 4 y dy / ˆšy

= x arcsin (2x) + (1/4) -y / (1/2) + c

= x arcsin (2x) + (1/2) -y + c.

Change y = 14x 2.

= x arcsin (2x) + (1/2) ˆš (14x 2) + c

2x dx bow.

Use peer-to-peer integration to solve problems.

Let u = arc be at 2x du = 2 / sqrt (1 (2x) 2) dx.

dv = dx v = x

x arc 2x 2Èà«x / sqrt (1 (2x) 2) in dx.

x arc 2x 2àˆÂ «x / sqrt (14x 2) in dx.

w = 14x 2 dw = 8x dx

x inner arc 2x + 1/4 «« 1 / sqrt (w) dw

x in arc 2x + 1/2 square (w) + c.

x Arc in 2x + 1/2 square (14x 2) + c.

Integral Of Arcsin

Integral Of Arcsin

What is the integral of the arc at 2x? 3

Arcosin (2x) DX

Merge after part

let u = arc sine (2x): du = 2 dx / ˆš (14x 2)

dv = 1 dx: v = x

Arxon (2x) dx = uv ˆ "vdu

= x arxon (2x)  «2 x dx / ˆš (14x 2)

= Or 14x 2 = y

8x dx = dy

2x dx = dy / 4

= x arxon (2x) + 1 / 4 «dy / ˆšy

= x arcsin (2x) + (1/4) ˆšy / (1/2) + c

= x arcsin (2x) + (1/2) ˆšy + c

Replace y = 14x 2

= x arcsin (2x) + (1/2) ˆš (14x 2) + c

2x dx bow

Use seamless integration to solve problems.

let u = arc in 2x du = 2 / sqrt (1 (2x) 2) dx

dv = dx v = x

x arc 2x 2Èà«x / sqrt (1 (2x) 2) in dx

x arc 2x 2 «x / sqrt (14x 2) in dx

Let w = 14x 2 dw = 8x dx

x inner arc 2x + 1/4 ˆÂ «1 / sqrt (w) dw

In x arc 2x + 1/2 square (w) + c

In x arc 2x + 1/2 square (14x 2) + c

Integral Of Arcsin