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NAGEEN PRAKASHAN-INTEGRATION-Exercise 7s
- " if " int (sin 2x- cos 2x) dx=(1)/(sqrt(2)) sin (2x-k)+c " then " k=?
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- int (1)/(sqrt(sin^(3) x cos x))dx =?
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- "The integral " int(dx)/(x^(2)(x^(4)+1)^(3//4))" equals"
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- int {1+2 tan x (tan x + sec x )}^(1//2) dx=?
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- int1/(x(x^n+1))dx
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- int log (x^(2) +a^(2)) dx=?
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- int (1-sinx )/ (1-cos x) dx=?
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- Evaluate: int((x-1)e^x)/((x+1)^3)dx
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- int (x^(2))/((a+bx)^(2))dx=?
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- int (4x^(2) +x+1)/(x^(3) -1) dx=?
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- integrate int0^(2pi) e^x . sin (pi/4 + x/2) dx
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- int(0)^(1//2) (x sin^(-1)x)/(sqrt(1-x^(2)))dx=?
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- int(0)^(pi//4) sqrt(cot x dx) =?
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- int(0)^(1) cot^(-1) (1-x+x^(2)) dx=?
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- Evaluate int0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx
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- int(0)^(pi//2) (sin x -cos x)/(1+sin x cos x) dx=?
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- int(0)^(pi//2) " cosec "(x-(pi)/(3)) " cosec "(x-(pi)/(6)) dx=?
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- Evaluate: int0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx
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- Prove that: int0^(pi//2)log|tanx+cotx|dx=pi(log)e2
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- int(0)^(pi) sin (n+(1)/(2))x. " cosec ".(x)/(2) dx=?
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