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CENGAGE ENGLISH-INTEGRALS-All Questions
- Let a , b , c be nonzero real numbers such that int0^1(1+cos^8x)(a x^2...
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- Let f(x) be a continuous and differentiable function such that f(x)=...
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- Evaluate: 5050(int0 1(1-x^(50))^(100)dx)/(int0 1(1-x^(50))^(101)dx)
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- Ifint(pi/3)^xsqrt((3-sin^2t))dt+int0^ycostdt=0,then evaluate (dy)/(d...
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- If f(x)=int0^x("cos"(sint)+"cos"(cost)dt ,t h e nf(x+pi)i s (a)f(x)+f...
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- Evaluate: int(-pi/2)^(pi/2)log((a-sin theta)/(a+sin theta)) d theta,a ...
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- Evaluate: int(0)^1(dx)/(1+x^2)
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- If f(t) is an odd function, then prove that varphi(x)=inta^xf(t)dt is ...
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- Evaluate: int2^3(2x^5+x^4-2x^3+2x^2+1)/((x^2+1)(x^4-1))dx
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- Find the value of int(0)^(1){(sin^(-1)x)//x}dx.
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- Show that int0^(npi+v)|sinx|dx=2n+1-cosv , where n is a positive int...
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- Find I=int0^pi ln(1+cosx)dx
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- The value of inta^b(x-a)^3(b-x)^4dx is
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- Evaluate: int(-1/2)^(1/2)[((x+1)/(x-1))^2+((x-1)/(x+1))^2-2]^(1/2)dx
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- The value of int(-a)^a(cos^(- 1)x-sin^(- 1)sqrt(1-x^2))dx is (a>0) t...
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- If f is an odd function, then evaluate I=int(-a)^a(f(sinx)dx)/(f(cosx...
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- Evaluate : int0^(pi/4)log(1+tanx)dx.
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- Evaluate: int(-pi/4)^(pi/4)(x^9-3x^5+7x^3-x+1)/(cos^2x)dx
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- Let a+b=4,w h e r ea<2,a n dl e tg(x) be a differentiable function. If...
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- Evaluate: int(-pi/2)^(pi/2)log{(a x^2+b x+c)/(a x^2-b x+c)(a+b)|sinx|}...
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