Grade 12Integral Calculus

What is the simple method to findout the Integration of cosx divided by 2+sinx

Ritik

9 Years agoGrade 12

2 Answers

Aaditya Sharma

9 Years ago

It can be easily done by thr method of ‘u-substitution’.

I= $\int \frac{cosx}{2+sinx}$ dx

Put u=sinx

I= $\int \frac{1}{2+u}$ du

I= In |u+2|+C

I= In |sinx+2|+C

Hope it helps.

rangu meghana

9 Years ago

consider sinx as t

sinx=t

differentiate on bothsides

cosx=dt\dx => cosxdx=dt ,sub it in question

we get _{∫dt/(2+t) = log(2+t) =log(2+sinx)}

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What is the simple method to findout the Integration of cosx divided by 2+sinx

Ritik

2 Answers

Aaditya Sharma

rangu meghana

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