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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1B
- int(-3pi//2)^(-pi//2)[(x+pi)^(3)+cos^(2)(x+3pi)]dx=
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- Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1andg(x) be a f...
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- If f''(x)andf'(x) are continuous on [a,b] then int(a)^(b)xf''(x)dx=
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- If f(x) and g(x) are continuous functions satisfysing f(x)=f(a-x)andg(...
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- int(-1)^(1)(sqrt(1+x+x^(2))-sqrt(1-x+x^(2)))/(sqrt(1+x+x^(2))+sqrt(1-x...
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- int(-pi)^(pi)(cos2x-sin3x)^(2)dx=
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- The function F(x)=int(0)^(pi)log((1-x)/(1+x))dx is
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- If alt0ltb then int(a)^(b)(|x|)/(x)dx=
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- underset(0)overset(2)int |1-x| dx
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- int(0)^(2)[x-2]dx=
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- int(0)^(2)[|x|+|x-1|]dx=
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- The value of int(-2)^(3)[1-x^(2)]dx is
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- int(0)^(2)|cos""(pix)/(2)|dx=
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- int(1//e)^(e)|logx|dx=
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- int(e^(-1))^(e^(2))|(logx)/(x)|dx=
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- int(0.5)^(4.5)[x]dx=
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- int(0)^(50)(x-[x])dx=
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- [y] is the integral part of y, then int(pi//2)^(3pi//2)[2sinx]dx=
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- int(0)^(1000)e^(x-[x])dx=
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- int(0)^(100)sin(x-[x])pidx=
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