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Questions  >>  JEEMAIN and NEET  >>  Mathematics  >>  Class12  >>  Integral Calculus
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Integrate : $\int e^x (ae^x+b)^n dx$

$(a)\;\frac{1}{a} \bigg\{\frac{(ae^x+b)^{n+1}}{n+1}\bigg\}+c \qquad(b)\;\frac{1}{b} \bigg\{\frac{(ae^x+b)^{n+1}}{n+1}\bigg\}+c \qquad(c)\;\frac{1}{a} \bigg\{\frac{(ae^x+b)^{n}}{n}\bigg\}+c \qquad (d)\;\frac{1}{a} \bigg\{\frac{(be^x+a)^{n+1}}{n+1}\bigg\}+c$

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