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PREMIERS PUBLISHERS-APPLICATIONS OF INTEGRATION-Answer the following questions.
- Evaluate int(0)^(1) x^6 (sqrt(1-x^2))^5dx.
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- Evaluate int(0)^(2)(2x+1)dx as limit of a sum
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- int(0)^(1)((cos^(-1)x)^3)/(sqrt(1-x^2))dx.
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- int(0)^(1)x(1-x)^(10)dx.
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- int(1)^(2)(xdx)/((x+1)(x+2)).
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- int(0)^((pi)/(4))(dx)/(9cos^2 x +sin^2x).
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- Prove that int(0)^(pi/4)(sin2xdx)/(sin^(4)x+cos^4 x)=(pi)/(4)
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- Show that int(0)^(4)(x^((3)/(2)))/(x^((3)/(2))+(4-x)^((3)/(2)))dx=2.
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- Evaluate int(0)^(1)sin^(-1) x +sin^(-1)(1-x)dx.
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- Show that int(3)^(4)(sqrt(x))/(sqrt(7-x)+sqrt(x))dx=(1)/(2)
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- Derive the reduction formula for int tan^(n) xdx.
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- Evaluate:int(0)^(pi/2)(dx)/(4sin^(2)x+5cos^(2)x)
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- Evaluate int(0)^(1)x^5 (sqrt(1-x^2))^3dx
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- Evaluate 2int(0)^(prop) e^(-x^2)x^(9)dx.
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- Evaluate int(0)^(prop) (x^3)/(3^x)dx.
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- Find the area of the region bounded between y^2=4x and x^2=4y.
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- Using integration find the area of the region bounded by a triangle wh...
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- Find the area bounded by the lines y=sqrt(2)x,x+sqrt(2)y=4,y=0 and y=s...
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- The curve 4t^2=x(x-2)^2 is revolved about x axis find the volume gener...
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