CHAAYA PRAKASHINI (BENGALI)-নির্দিষ্ট সমাকল-EXERCISE
- int0^a cos^-1 frac{1-x^2}(1+x^2)dx
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- মান নির্ণয় করো:int0^frac{1}sqrt2 sin^-1x/(1-x^2)^frac{3}{2}
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- মান নির্ণয় করো:int0^1 tan^-1x/[(1+x^2)frac{3}{2}]
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- intfrac{1}{pi}^frac{2}{pi} 1/x^2sin(1/x)dx
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- মান নির্ণয় করো:int0^frac{pi}{2} sqrt sin Phicos^5 Phi dPhi
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- int0^pi sin^3xcos^3xdx
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- int1^e (logx)^2dx
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- int0^frac{pi}{2} (sinxcosxdx)/(2cos^2x+3sin^2x)
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- সমাধান করো : int0^pi 1/(3+2sinx+cosx) dx
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- int0^frac{pi}{2} x/(1+cosx) dx
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- int0^2 x^4/(4+x^5)^frac{3}{2} dx
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- int-a^a1/(x^2+a^2)^frac{3}{2}dx
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- int0^frac{pi}{2} cos^4xsin^3xdx
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- int0^2 x^2/sqrt(1+x^2) dx
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- int0^1 sqrt{(1+x)/(1-x)} dx
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- int-1^3 [tan^-1 frac{x}{x^2+1)+cot^-1 frac{x}{x^2+1}]dx
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- intcot^-1xdx
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- প্রমাণ করো: int-3^-2 dx/(x^2-1)=frac{1}{2}logfrac{3}{2}
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- প্রমাণ করো: int0^frac{pi}{2} cos^5xdx=frac{8}{15}
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- প্রমাণ করো:int1^2 (x^2-1)/(x^2)e^[x+frac{1}{x}]dx=e^frac{5}{2}-e^2
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