5sin-x-cos-x-cos-x-1-1-3-dx-

Question Number 64270 by aliesam last updated on 16/Jul/19

\int \frac{5 s i n (x) c o s (x)}{\sqrt[3]{c o s (x) + 1}} d x

Answered by Tanmay chaudhury last updated on 16/Jul/19

t^{3} = 1 + c o s x 3 t^{2} d t = - s i n x d x

\int \frac{5 \times (t^{3} - 1) \times - 3 t^{2} d t}{t}

- 15 \int (t^{4} - t) d t

= (- 15) \times {\frac{t^{5}}{5} - \frac{t^{2}}{2}} + c

= - 3 t^{5} + \frac{15}{2} t^{2} + c

= - 3 {(1 + c o s x)}^{\frac{5}{3}} + \frac{15}{2} {(1 + c o s x)}^{\frac{2}{3}} + c

Commented by Prithwish sen last updated on 16/Jul/19

Tanmay sir . Is it you ? Happy to see you sir .

please {don}^{'} t leave .

Commented by Tawa1 last updated on 16/Jul/19

Sir tanmay, were have you been . Hope you are good

Commented by aliesam last updated on 16/Jul/19

i a m s o h a p p y t o s e e y o u a g a i n s i r a n d t h a n k y o u f o r t h e s o l

Commented by Tanmay chaudhury last updated on 16/Jul/19

t h i s p l a t f o r m p r o v i d e f o o d o f b r a i n s o i c a n n o t

s t a y s t a r v e d

Commented by Tawa1 last updated on 16/Jul/19

Hahahaha . welcome sir

Commented by Prithwish sen last updated on 16/Jul/19

Sir are you from kolkata ?

Commented by Tanmay chaudhury last updated on 16/Jul/19

h a a m i b a r r a k c p o r e a t h a k i

Commented by Prithwish sen last updated on 16/Jul/19

ami tribeni . kono din dekha hobe . barrackpure

amar mamar bari

Commented by Tanmay chaudhury last updated on 16/Jul/19

a c h h a t h i k a c h e . . b h a l o t h a k u n . .

Commented by Prithwish sen last updated on 16/Jul/19

apnio .