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FULL MARKS-APPLICATIONS OF INTEGRATION-ADDITIONAL PROBLEMS
- Evaluate as the limit of sums : int(1)^(3)(2x^(2)+5) dx
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- Evaluate as the limit of sums: int(1)^(2) (x^(2)-1)dx
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- Evaluate : int(0)^(2)(x^(2)+x+2)dx.
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- Evaluate: int(-pi//4)^(pi//4)x^(3) sin^(2) xdx .
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- Evaluate int(-1)^(1)log((3-x)/(3+x))dx.
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- Evaluate: int(-pi//2)^(pi//2)xsin dx
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- Evaluate : int(0)^(1)x(1-x)^(n)dx .
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- Evaluate: int (pi//6)^(pi//3) (dx)/(1+sqrtcot x) .
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- Evaluate : int(0)^(2pi)(cosx)/(sqrt(4+3 sin x))dx
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- Evaluate: int(0)^(pi//4)(sin^(3)x)/(cos^(5) x) dx
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- Evaluate: int(0)^(pi//2) sqrtsinthetacos^(5)theta d theta
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- Evaluate:int(0)^(pi//3)(secxtanx)/(1+sec^(2) x)dx
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- Evaluate, int(0)^(pi//2)(dx)/(5+4sinx) .
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- Evaluate: int(0)^(pi//4)(dx)/(4+5cos^(2)x) .
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- Evaluate: int(0)^(pi//2)(dx)/(4+9cos^(2)x)
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- int(0)^((pi)/(2)) sin^7 xdx is :
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- Evaluate int(0)^((pi)/(2))sin^4 x cos^2xdx.
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- Find the area of the region bounded by y^2=4ax and x=|y|.
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- Find the area of bounded by the curve y=x^(3) and thr liney=x.
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- Find the area of the loop and the curve 3ay^(2)=x(x-a)^(2)1.
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