SA

Find: $\int e^{x}[\frac{1}{(1+x^{2})^{\frac{3}{2}}}+\frac{x}{\sqrt{1+x^{2}}}]dx$

SA

(a) Evaluate: $\int_0^{2\pi} \frac{1}{1 + e^{\sin x}} dx $ OR (b) Find: $\int \frac{x⁴} { ((x-1)(x²+1))}dx.$

SA

28. (b) OR: Evaluate: $\int_{0}^{\pi/2}\sqrt{\sin x}\cos^{5}x~dx$

SA

26. Find: $\int\frac{x^{2}+x+1}{(x+1)^{2}(x+2)}dx$

SA

27. (b) OR: Evaluate: $\int_{-2}^{2}\frac{x^{2}}{1+5^{x}}dx$

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