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underseta oversetb int (logx)/x dx...

`underseta oversetb int (logx)/x dx`

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True or False: underseta oversetb int f(x)dx ne underseta oversetb int f(a+b-x)dx

Evaluate the following definite integrals : underseta oversetb int cosxdx .

Evaluate: underseta oversetb int e^xdx .

True or False: underseta oversetb int f(x)dx , if it exists, is a uniquely determined real number.

Evaluate the following definite integrals : underseta oversetb int 1/sqrtx dx , b>a>0

If f(a+b-x)=f(x), then prove that underseta oversetbint xf(x)dx=(a+b)/2 underseta overset b int f(x)dx .

If underseta oversetb int x^3 dx=0 and underseta oversetb int x^2dx=2/3 , find the value of a and b.

Evaluate: underseta overset b int sqrtx dx , as the limit of a sum. It is given that b>a>0.

True or False: underseta oversetbint (f(x))/(f(x)+f(a+b-x))dx=(a+b)/2

Evaluate the following definite integrals : underseta oversetb int x^3dx , b>a>0