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VK JAISWAL-INDEFINITE AND DEFINITE INTEGRATION-EXERCISE (SUBJECTIVE TYPE PROBLEMS)
- If int (x ^(6) +x ^(4)+x^(2)) sqrt(2x ^(4) +3x ^(2)+6) dx = ((ax ^(6) ...
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- int( x^2+3)/(x^2+2)dx
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- The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan...
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- Let int (0)^(1) (4x ^(3) (1+(x ^(4)) ^(2010)))/((1+x^(4))^(2012))dx = ...
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- Let int ( 1) ^(sqrt5)(x ^(2x ^(2)+1) +ln "("x ^(2x ^(2x ^(2+1)))")")dx...
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- If int (dx )/(cos ^(3) x-sin ^(3))=A tan ^(-1) (f (x)) +bln |(sqrt2+f ...
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- Find the value of |a| for which the area of triangle included between ...
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- Let I = int (0) ^(pi) x ^(6) (pi-x) ^(8)dx, then (pi ^(15))/((""^(15) ...
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- int( x^3)/(x^2-3)dx
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- If a continuous function f on [0,a] satisfies f(x)f(a-x)=1,agt0, then ...
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- If {x} denotes the fractional part of x, then I = int (0) ^(100) (sqrt...
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- int( x^3)/(x^2-2)dx
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- IF M be the maximum valur of 72 int (0) ^(y) sqrt(x ^(4) +(y-y^(2))^(2...
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- Find the number points where f (theta) = int (-1)^(1) (sin theta dx )/...
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- underset(nrarroo)lim[(1)/(sqrtn)+(1)/(sqrt(2n))+(1)/(sqrt(3n))+...+(1)...
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- The maximum value of int (-pi//2) ^(2pi//2) sin x. f (x) dx, subject t...
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- Given a funtion g, continous everywhere such that g (1)=5 and int (0)^...
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- If f (n)= 1/pi int (0) ^(pi//2) (sin ^(2) (n theta) d theta)/(sin ^(2)...
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- Let f (2-x) =f (2+xand f (4-x )= f (4+x). Function f (x) satisfies int...
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- Let l (n) =int (-1) ^(1) |x|(1+ x+ (x ^(2))/(2 ) +(x ^(2))/(3) + ........
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