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AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
- int(0)^(1) Tan^(-1) ((2x-1)/(1+x-x^(2)))dx=
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- int(0)^(oo) (ln x)/(x^(2)+a^(2))dx=
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- int(0)^(pi//2) ln (tan x+ cot x)dx=
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- Evaluate the integral underset(0)overset(1)int (log(1+x))/(1+x^(2))d...
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- int(0)^(2pi) ln (1+Cos x) dx=
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- int(0)^(pi//2) (sin 8x.log(cot x))/(cos 2 x)dx=
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- int(0)^(4014) (2^(x))/(2^(x) +2^(4041-x))dx=
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- int(0)^(pi//2) (1)/(1+e^(sqrt(2)sin(x-pi//4)))dx=
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- If f(y)=e^(y),g(y)=y:ygt0andF(t)=int(0)^(t)f(t-y)g(y)dy, then
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- int(0)^(2pi)(1)/(e^(sin x) +1) dx=
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- The value of int(-pi)^(pi)(cos^(2)x)/(1+a^(x))dx,agt0 is
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- int(-1)^(1) (cos h x)/(1+e^(2x))dx=
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- If f(x) and g(x) are continuous functions on the interval [0, 4] satis...
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- If f(a+b-x)=f(x)," then "int(a)^(b)xf(x)dx=
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- int(2)^(5) ([x^(2)+49-14x])/([x^(2)-14x+49]+[x^(2)])dx=
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- int(-1)^(1) (2 sinx - 3x^(2))/(4-|x|)dx=
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- int(-1)^(1) (17x^(5)-x^(4)+29 x^(3) -31 x +1)/(x^(2)+1)dx=
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- int(-pi)^(pi) (2x(1+Sin x))/(1+Cos^(2)x)dx=
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- If f(x)=[(x, cos x, e^(x^(2))),(sin x, x^(2), secx),(tan x, x^(4) ,2x^...
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- sum(n=1)^(10)int(-2n-1)^(2n)sin^(27) x dx + sum(n=1)^(10)int(2n)^(2n+1...
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