CHAAYA PRAKASHINI (BENGALI)-বিবিধ অনুশীলনী-EXERCISE
- Y=(sin^-1x)^2+(cos^-1x)^2 হলে দেখাও যে,(1-x^2)(d^2y)/(dx^2)-xdy/dx=4
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- যদি y=t^2+t^3 ও x=t-t^4 হয়, তাহলে (d^2y)/(dx^2)-এর মান নির্ণয় করো।
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- int(e^(4x)-2e^(3x)+5e^x-2)/(e^x+1)dx
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- int(dx)/((e^x-1)^2)
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- int(x^2-1)/(x^4+1)dx
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- int(x^2+1)/(x^4+1)dx
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- int(sqrtx)/(1+root4(x^3))dx
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- int(sqrt (1+x^2))/(x^4)dx
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- intsqrt(a^(1/3)+x^(1/3))dx
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- মান নির্ণয় করো: int(dx)/(xsqrt(x^4-1))
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- মান নির্ণয় করো: int(x^2+1)/(x^4+x^2+1)dx
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- int(x^2-1)/(x^4+x^2+1)dx
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- int(x^2+1)/(xsqrt(x^4+1))dx
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- int1^4 dx/(xsqrtx)
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- int(dx)/(xsqrt(x^4-1))
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- int(2x^3+x)/(x^4+x^2+1)dx
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- int(x^2-1)/(x^4+x^2+1)dx
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- int(x^2-1)/(xsqrt(x^4+1))dx
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- int((x-2)dx)/((x^2-4x+13)^2)
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- (1-x^4)/((1-x)(1+x)) =?
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