true

Find the best tutors and institutes for Class 12 Tuition

Find Best Class 12 Tuition

No matching category found.

No matching Locality found.

Outside India?

Search in

Learn Exercise 7.2 with Free Lessons & Tips

let I $=\int&space;\frac{x}{(x+4)}dx$

Put x+4= t

$\Rightarrow&space;dx=dt$

Let t

∴2x dx = dt

Let log |x| = t

∴

Let 1 + log t

∴

sin x ⋅ sin (cos x)

sin x ⋅ sin (cos x)

Let cos x = t

∴ −sin x dx = dt

Let

Let ax + b = t

Let

∴ dx = dt

Let 1 + 2x2 = t

∴ 4xdx = dt

Integrate the question

Let

∴ (2x + 1)dx = dt

Let

Let

∴

Let

∴ 9x2dx = dt

Let log x = t

∴

Let

∴ −8x dx = dt

Let

∴ 2dx = dt

Let

∴ 2xdx = dt

Let

∴

Dividing numerator and denominator by ex, we obtain

Let

∴

Let

∴

Let 2x − 3 = t

∴ 2dx = dt

Let 7 − 4x = t

∴ −4dx = dt

Let

∴

Let

∴

Let

∴

Let

∴

Let sin 2x = t

∴

Let

∴ cos x dx = dt

cot x log sin x

Let log sin x = t

$\fn_cm&space;Put&space;(1+Cos&space;x)&space;=&space;t;&space;=>&space;(dt/dx)&space;=&space;-&space;Sin&space;x&space;;&space;\int&space;(-dt)&space;/&space;t&space;=-logt&space;+&space;C;&space;Therfore,&space;result&space;is&space;-&space;log(1+Cos&space;x)&space;+&space;C$

Let 1 + cos x = t

∴ −sin x dx = dt

Let sin x + cos x = t ⇒ (cos x − sin xdx = dt

Put cos x − sin x = t ⇒ (−sin x − cos xdx = dt

$\int&space;\frac{\sqrt&space;tan&space;x}{&space;sin&space;x&space;cos&space;x}&space;dx$

Divide Numerator and Deminator by cos2x

I = $\int&space;\frac{&space;\sqrt&space;{tanx}&space;sec^{2}&space;x}&space;{tan&space;x}&space;dx$

Put tan x = t

sec2x dx = dt

I  =  $\int&space;\frac&space;{\sqrt{t}}&space;{t}&space;dt$

= $\int&space;\frac&space;{1}&space;{\sqrt&space;{t}}&space;dt$

= $2&space;\sqrt{t}&space;+&space;c$

I = $2&space;\sqrt{tanx&space;}&space;+&space;c$

Let 1 + log x = t

∴

Let

∴

Let x4 = t

∴ 4x3 dx = dt

Let

From (1), we obtain

equals

Let

∴

Hence, the correct answer is D.

equals

A.

B.

C.

D.

Hence, the correct answer is B.

How can we Improve it?

Please enter your question below and we will send it to our tutor communities to answer it *

Name *

Enter a valid name.

Email *

Enter a valid email.

Email or Mobile Number: *

UrbanPro.com helps you to connect with the best Class 12 Tuition in India. Post Your Requirement today and get connected.

X

Looking for Class 12 Tuition Classes?

Find best tutors for Class 12 Tuition Classes by posting a requirement.

• Post a learning requirement
• Get customized responses
• Compare and select the best

Looking for Class 12 Tuition Classes?

Get started now, by booking a Free Demo Class