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MARVEL PUBLICATION-INTEGRATION - DEFINITE INTEGRALS -MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)
- Evaluate : int0^(pi/2)(sinx+cosx)dx
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- int(pi//4)^(pi//3)(tan x + cot x) dx =
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- int(-pi//2)^(pi//2)sqrt(1-cos 2x)dx=
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- int(-pi)^(pi)sqrt(1+cos 4x)dx=
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- int(pi//6)^(pi//4)(sec^(2)x+cos^(2)x)dx=
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- int(-pi//2)^(pi//2)sqrt(1+sin 2x)dx=
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- int(-pi//4)^(pi//4)sin^(2)x dx=
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- If a gt 0, then : int(-a)^(a)(1)/(sqrt(a^(2)-x^(2)))dx=
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- int(-a)^(a)(1)/(a^(2)+x^(2))dx=
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- int(-a)^(a)(x^(2))/(a^(2)+x^(2))dx=
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- int(-1)^(1)sqrt(1-x^(2))dx=
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- int-1^1[cos^-1x] dx (where [.] denotes greatest integer function)
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- int(0)^(7)(1)/(sqrt(4+3x))dx=
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- int(1)^(2)(1)/(x sqrt(x^(2)-1))dx=
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- int(sqrt(3))^(sqrt(8))xsqrt(1+x^(2))dx=?
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- int(0)^(1)((cot^(-1)x)^(2))/(1+x^(2))dx=
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- int(1)^(e )((log x)^(4))/(x)dx=
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- int(pi//4)^(pi//2)(e^(cot x))/(sin^(2)x)dx=
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- int(0)^(1)(1)/(e^(x)+e^(-x))dx=
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- int(0)^(4)sqrt(16-x^(2))dx=
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