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∫_0 ^a ((a^2 −x^2 )/((a^2 +x^2 )^2 )) dx ? |
explicit f(a) =∫_0 ^1 ((ln(1−ax^2 ))/x^2 )dx with 0<a<1 |
calculate ∫_0 ^1 ((ln(1−x^2 ))/x^2 )dx |
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Exercise ABC is a triangle. A′ ; B′ ; C′ are respec− tively middles of sides: [BC]; [AC] and [AB]. G is isobarycenter( situated at equal distance ) of A, G , and C. 1) By using the theorem of medians, show that: GB^2 +GC^2 =(1/2)GA^2 +(1/2)BC^2 |
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approximate ∫_0 ^(π/2) (x/(sinx))dx by simpsom method |
∫_0 ^1 (e^(√x) /(√x))dx |
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If 9y^2 + (1/y^2 ) =3, then find the value of 27y^3 + (1/y^3 ) |
find the function f(x) satisfying the given conditions (i)f^′ (x)=4x^2 −1 , f(0)=3 ? (ii)f^(′′) (x)=12 , f^′ (0)=2 , f(0)=3 ? (iii)f^(′′) (x)=2x , f^′ (0)=−3 , f(0)=2 ? help me sir pleas ? |
Prove that arctan(x)+2arctan((√(1+x^2 ))−x)=(π/2) |
x^2 (dy/dx) = x^2 +xy+y^2 |
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By using the double integral find the area of the regiin bounded by the curve y=x^2 +2x , y=x^2 −2x and x−axis (sketch the region of integration) pleas sir help me |
∫x^x dx=? |
∫x^x^x dx=? |
Find f(0) when a polynomial f(x) satisfies lim_(x→1) ((f(x))/(x^2 −1))=2 lim_(x→−1) ((f(x))/(x^2 −1))=2 lim_(x→+∞) ((f(x))/x^4 ) =1 pls Help! |
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Pg 1158 Pg 1159 Pg 1160 Pg 1161 Pg 1162 Pg 1163 Pg 1164 Pg 1165 Pg 1166 Pg 1167 |