integration practice

1] \int_{-1}^0 \sqrt{\frac{1+x}{1-x}}dx

9 Answers

39
Dr.House ·

2]\lim_{b\rightarrow a} \frac{\displaystyle\int_a^b \ln |1+(x-a)(b-x)|dx}{(b-a)^3}

11
Mani Pal Singh ·

standard ques

(1)
put x=cos2θ and the ques is solved[1]

11
Mani Pal Singh ·

(2)
use l hospital
answer should come

1
°ღ•๓яυΠ·

usin l'pithal one shud get
bt i m gettin x in num

1
°ღ•๓яυΠ·

for d first q a bettr way is
multiply n divide by √1-x
nw substitue x=sin@
so ur num is cos^2@ d@
and de is 1-sin@

write num as 1-sin^2@

so ur q basically is( 1+sin@ )d@

39
Dr.House ·

mujhe samjha rahiin ho?????????

1
°ღ•๓яυΠ·

jaise aap samjoh just postin a bettr way :P

39
Dr.House ·

3]\int_0^{\pi} |a\cos nx+b\sin nx|dx\ (n=1,2,\cdots)

39
Dr.House ·

answers

1] -1 + π/2

2] 1/6

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