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AAKASH SERIES-DEFINITE INTEGRALS-PRACTICE EXERCISE
- Evaluate the integral underset(0)overset(1)int sin^(-1) ((2x)/(1+x^(...
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- int(0)^(1) (x-1) e^(-x) dx=
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- int(1)^(e)(ln x)/(x^(2))dx=
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- int(0)^(pi//2) (Cos^(3//2)x)/(Cos^(3//2) x+Sin^(3//2)x)dx=
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- int(0)^(pi//2) (3 Sec x + 5 cosec x)/(Sec x + cosec x) dx=
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- Evaluate the following integrals (i) int(0)^(pi/2) (sin^(2) x - cos...
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- int(0)^(5)x(5-x)^(10)dx=
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- int(0)^(1)(x)/((1-x)^(5//4))dx=
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- int(1)^(3) (sqrt(3))/(sqrt(4-x)+sqrt(x))dx=
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- int(pi//6)^(pi//3)(Sin^(3)x)/(Sin^(3)x+Cos^(3)x)dx=
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- int(-2 pi)^(2pi) Sin^(5) x dx=
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- int(-pi)^(pi) x^(3) Cos x dx=
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- int(-pi)^(pi) x^(4) Sin x dx=
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- int(-pi)^(pi) (x Cos x)/(1+Sin^(2)x)dx=
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- int(-1)^(1) Sin^(-1) ((x)/(1+x^(2)))dx=
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- int(-pi)^(pi) (Cos a x - Sin a x)^(2) dx=
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- int(-pi//2)^(pi//2) cos theta (1+sin theta)^(2) d theta=
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- int(-pi//2)^(pi//2) sin^(2) x cos^(2) x(sin x + cos x) dx=
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- If f(x)={{:(x " for "x lt 1),(x-1 " for "x ge1):} then int(0)^(2)x^(2...
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- If int(n)^(n+1) f(x) dx = n^(2) +n, AA n in I then the value of int(-3...
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