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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1B
- int(2)^(3)(sqrtx)/(sqrt(5-x)+sqrtx)dx
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- The value of the integral, int(3)^(6)(sqrtx)/(sqrt(9-x)+sqrtx)dx is
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- int(-a)^(b)(root(3)(x+a))/(root(3)(x+a)+root(3)(b-x))dx=
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- If f(x)=(e^(x))/(1+e^(x)),I(1)=int(f(-a))^(f(a))xg{x(1-x)}dxandI(2)=in...
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- Let l=int(0)^(1)(sinx)/(sqrtx)dxandI=int(0)^(1)(cosx)/(sqrtx)dx. Then ...
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- int(pi//8)^(3pi//8)(1)/(1+cotx)dx=
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- int(-2)^(2)(x^(11)cosx+e^(x))dx=
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- int(-1)^(1)log((2+x)/(2-x))dx=
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- int(-pi//2)^(pi//2)log((2-sintheta)/(2+sintheta))d""theta=
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- int(-pi//4)^(pi//4)((x+pi//4)/(2-cos2x))dx=
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- int(-1)^(+1)(d)/(dx)(Tan^(-1)1//x)dx=
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- The value of int(-pi//2)^(pi//2)(x^(3)+xcosx+tan^(5)x+1)dx=
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- 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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