CHAAYA PRAKASHINI (BENGALI)-বিবিধ অনুশীলনী-EXERCISE
- int(cos2x)/(1+3sin2x)dx
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- intsqrt(cotx)dx
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- intxsin^-1 sqrt ((2a-x)/(4a))dx
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- int(dx)/(sinx+cosx)
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- (1-x^4)/((1-x)(1+x)) =?
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- int(dx)/(cos^3xsqrt(sin2x))
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- int1^2 (x+1)/x^3 dx
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- intcos2thetalog((costheta+sintheta)/(costheta-sintheta))d theta
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- int(x+root3(x^2)+2root6x)/(x(1+root3x))dx
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- int((log(1+root6x))/(root3x+sqrtx)+(1)/(root3x+root4x))dx
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- int(dx)/(1+rootn (x+1)), n=একটি ধনাত্মক পূর্ণসংখ্যা।
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- int(sinx+cosx)/(sin^4x+cos^4x)dx
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- int(dx)/(sqrt (sin^3xcos(x-alpha))
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- (x+sqrt(x^2-1))/(x-sqrt(x^2-1))+(x-sqrt(x^2-1))/(x+sqrt(x^2-1)) = 62 হ...
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- x=1, y=2, z=3 হলে, (sqrtx)/(sqrty+sqrtz)+( sqrty)/(sqrtz+ sqrtx)+sqrtz...
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- int[sqrt ((a+x)/(a-x))]dx
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- int(dx)/((1+sqrtx)^(3/2))
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- int(sqrtxdx)/(a+bx)=2/b[sqrt x-sqrt(a/b)tan^-1(sqrt((bx)/(a)))]+c
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- int(sqrt (x^2+4x))/(x^2)dx=-2/xsqrt(x^2+4x)+logabs (x+2+sqrt (x^2+4x))...
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- prove that int(tanxdx)/(1-sinx)=1/2[(1)/(1-sinx)+logabs (secx-tanx)]+c
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