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int(e^(x)(2-x^(2)))/((1-x)sqrt(1-x^(2)))dx

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Evaluate: int(e^(x)(2-x^(2))dx)/((1-x)sqrt(1-x^(2)))

∫ 1 / 2 − 1 int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

Evaluate: int(e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

The integral inte^x(f(x)+f\'(x))dx can be solved by using integration by parts such that: I=inte^xf(x)dx+inte^xf\'(x)dx=e^xf(x)-inte^xf\'(x)dx+inte^xf\'(x)dx=e^xf(x)+C , and inte^(ax)(f(x)+(f\'(x))/a)dx=e^(ax)f(x)/a+C ,Now answer the question: int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx (A) e^xsqrt((1-x)/(1+x))+C (B) e^xsqrt((1+x)/(1-x))+C (C) e^xsqrt((2-x)/(2+x))+C (D) none of these

The integral inte^x(f(x)+f\'(x))dx can be solved by using integration by parts such that: I=inte^xf(x)dx+inte^xf\'(x)dx=e^xf(x)-inte^xf\'(x)dx+inte^xf\'(x)dx=e^xf(x)+C , and inte^(ax)(f(x)+(f\'(x))/a)dx=e^(ax)f(x)/a+C ,Now answer the question: int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx (A) e^xsqrt((1-x)/(1+x))+C (B) e^xsqrt((1+x)/(1-x))+C (C) e^xsqrt((2-x)/(2+x))+C (D) none of these

Evaluate int_(0)^(1) (e^x(2-x^2)dx)/((1-x)sqrt(1-x^2))

int(e^(2x))/(sqrt(1-e^(2x)))dx