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DIPTI PUBLICATION ( AP EAMET)-DEFINITE INTEGRATION-EXERCISE 1B
- If I=int(0)^(1)cos(2Cot^(-1)""(sqrt (1-x)/(1+x)))dx then
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- Evaluate the integral underset(0)overset(pi)int x sin^(3)x dx
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- Evaluate the integral underset(0)overset(a)int x(a-x)^(n)dx
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- int(0)^(1)x^(2)(1-x)^(5)dx=
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- int(0)^(5)x(5-x)^(10)dx=
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- int(0)^(2)(2x-2)/(2x-x^(2))dx=
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- int(0)^(pi)(x.sin2x.sin[(pi//2)cosx])/(2x-pi)dx=
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- int(0)^(pi)xf(sinx)dx=
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- If int(0)^(pi)xf(sinx)dx=Aint(0)^(pi//2)(sinx)dx, then A is
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- If f(x) is intergrable on [0,a] then int(0)^(a)(f(x))/(f(x)+f(a-x))dx=
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- int(a)^(b)(f(x))/(f(x)+f(a+b-x))dx=
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- If f(a+b-x)=f(x)," then "int(a)^(b)xf(x)dx=
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- 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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