evaluate integral of [e^(-x) +1] ^2

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other problems on integration

integral of sqrt(tanx)     -----> (integral of sqrt(tanx))

integral of coshx cosx       --------> (integral of cosh x cosx)

integral of {(2x+1) / (4+x.²)} --------->(integral of {(2x+1) / (4+x.²)})

integral of (1+x) / x (x-2)^0.5       --------> (integral of (1+x) / x (x-2)^0.5)

integral of ln(sin x) from 0 to pi/2  ----------> (integral of ln(sin x) from 0 to pi/2)

integral of (e^(ax))cosbx using integration by parts  ----------> (integration by parts)

 .∫ (x²) sin x  dx using integration by parts  ----------> (integration by parts)

integral of { sqrt{1+x^2}  } / {x^2} using integration by parts  ----------> (integration by parts)

∫ arc(tan4x) dx  ----------> (integration by parts)

∫ (sin3x)^4 dx  ----------> (integration by trignometric manipulation)

.∫ (x^4)(ln x)² dx ----------> (integration by parts)

∫ sec³x dx  ----------> (integration)

∫ (4x - 7) / (x² + x +1) dx -----------completion of squares

definite integral ∫ x³ e^(-x)dx with limits 0 to infinity --------->(integral)

evaluate integral of { e^(1 /x^2)} / {x^3} -------------(integration by substitution)