Integration x(3x – 2)1/2 dx explain in great detail

Integral of 3x^5 – 5x^9
Integral of 3x^5 – 5x^9

CBSE Class 12-science Answered

Integration x(3x – 2)1/2 dx explain in great detail

Asked by haroonrashidgkp | 03 Oct, 2018, 08:59: PM

begin mathsize 16px style straight I equals integral straight x square root of 3 straight x minus 2 end root dx 3 straight x minus 2 equals straight t rightwards double arrow 3 straight x equals straight t plus 2 rightwards double arrow straight x equals fraction numerator straight t plus 2 over denominator 3 end fraction 3 dx equals dt straight I equals integral open parentheses fraction numerator straight t plus 2 over denominator 3 end fraction cross times square root of straight t close parentheses dt straight I equals 1 third integral open parentheses straight t to the power of 3 over 2 end exponent plus 2 straight t to the power of 1 half end exponent close parentheses dt straight I equals 1 third open parentheses fraction numerator straight t to the power of begin display style 5 over 2 end style end exponent over denominator begin display style 5 over 2 end style end fraction plus fraction numerator 2 straight t to the power of begin display style 3 over 2 end style end exponent over denominator begin display style 3 over 2 end style end fraction close parentheses plus straight c straight I equals 2 over 3 open parentheses open parentheses 3 straight x minus 2 close parentheses to the power of begin display style 5 over 2 end style end exponent over 5 plus fraction numerator 2 open parentheses 3 straight x minus 2 close parentheses to the power of 3 over 2 end exponent over denominator 3 end fraction close parentheses plus straight c end style

Answered by Sneha shidid | 04 Oct, 2018, 03:53: PM

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CBSE 12-science – Maths

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Two dealers P and Q sell three items viz . , notebooks , pencils and erasers . In the month of April , the dealer P sells 250 notebooks , 400 pencils and 300 erasers , whereas the dealer Q sells 350 notebooks , 500 pencils and 470 erasers . In the month of may the dealer P sells 380 notebooks , 440 pencils and 360 erasers , whereas the dealer Q sells 450 notebooks , 520 pencils and 420 erasers.Using matrices represent The combined sale of two months for each dealer in each item ? ( i ) ( ii ) The change in sales from April to may for each dealer in each item ?question image

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