Basic problem

Calculus Level 1

$\displaystyle \int \frac{\sin \theta +\sin \theta \tan^{2} \theta}{\sec^{2} \theta} d\theta = ?$

$\cos \theta + c$

\sec \theta + c

\cos \theta + c

1 solution

Akshat Sharda
Aug 16, 2015

$\int \frac{\sin \theta +\sin \theta \tan^{2} \theta} {\sec^{2} \theta} d\theta$

$\Downarrow$

$\int \frac{(\sin\theta)(\color{#3D99F6}{1+\tan^{2} \theta})} {\sec^{2} \theta} d\theta$

Now , we know that $\color{#3D99F6}{1+tan^{2} \theta} = sec^{2} \theta$

Therefore,

$\int \frac{(\sin \theta)(sec^{2} \theta)} {\sec^{2} \theta} d\theta$

$\Downarrow$

$\int \sin \theta d\theta \Rightarrow \color{#D61F06}{\boxed{- \cos \theta + c}}$

amazing to know that u know integration

sumit cooooool - 5 years, 10 months ago

Why?????Can't I?

Do you know integration?

Akshat Sharda - 5 years, 10 months ago

yes i know integration as well u but u don't know me

sumit cooooool - 5 years, 10 months ago

@Sumit Cooooool – Now I know you.

Akshat Sharda - 5 years, 10 months ago

@Akshat Sharda – what do u know about me can u telllll where does i study

sumit cooooool - 5 years, 10 months ago

@Sumit Cooooool – C² is this the place where you study??

Akshat Sharda - 5 years, 10 months ago

@Akshat Sharda – gave the answer that where isaw u i see u everyday and chatted with u on watsapp on independence day

sumit cooooool - 5 years, 10 months ago

@Sumit Cooooool – Who are you?????

Akshat Sharda - 5 years, 10 months ago

@Akshat Sharda – find yourself .......

sumit cooooool - 5 years, 10 months ago

@Sumit Cooooool – Sahooooooooooo ????????

Akshat Sharda - 5 years, 10 months ago

Why have you written that “amazing to know that you(I) know integration"?

Akshat Sharda - 5 years, 10 months ago

bcoz from ur face it doesn't seems that u know integration

sumit cooooool - 5 years, 10 months ago

@Sumit Cooooool – Where did you saw me??????

Akshat Sharda - 5 years, 10 months ago