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AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
- int(-3pi//2)^(-pi//2)[(x+pi)^(3)+cos^(2)(x+3pi)]dx=
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- int(-pi//2)^(pi//2)cos^(3)theta(1+sin theta)^(2)d theta=
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- int(- pi/4)^(pi/4) cos^(-4) x dx=
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- int(ln lambda)^(ln(1/lambda))(f(x^(2)/3)(f(x)+f(-x)))/(g(3x^(2))(g(x)-...
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- int(-1)^(1)(1)/((1+x^(2))^(2))dx=
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- f(x)= int(0)^(x) ln ((1-t)/(1+t))dt rArr
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- int(0)^(a) (f(x)+f(-x))dx=
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- int(-1)^(3)(Tan^(-1)""(x)/((x^(2)+1))+Tan^(-1)""(x^(2)+1)/(x))dx=
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- int(0)^(sin^(2)x) sin^(-1) sqrt(t) dt + int(0)^(cos^(2)x) cos^(-1) sqr...
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- int(0)^(1) cot^(-1) (1-x+x^(2))dx=
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- If for every ineger n , int(n)^(n+1) f(x) dx=n^(2) then the value of i...
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- If f(x)={{:(x^(2) " for " 0 le x le 1),(sqrt(x) " for "1 le x le 2):}...
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- If int(-3)^(2) f(x)dx= 7/3 and int(-3)^(9) f(x)dx= - 5/6 then int(2)^(...
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- If int(-1)^(4)f(x)dx=4andint(2)^(4)[3-f(x)]dx=7" then "int(-1)^(2)f(x)...
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- The value of the integral int(0)^(oo)(xlogx)/((1+x^(2))^(2))dx is
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- int(0)^(pi//2) (sin^(100)x-cos^(100)x)dx=
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- For m, n in N and m != n then the value of int(0)^(pi) sin m x " " sin...
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- For n in N, the value of int(0)^(pi) sin^(n) x*cos^(2n-1)x dx is
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- For n in N, int(0)^(2pi) (x sin^(2n)x)/(sin^(2n) x + cos^(2n) x) dx=
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- int(0)(pi//2) ( x dx)/(Sin x + Cos x)=
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