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Integrals — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSIntegrals2 Marks
Question
Find the integral: $\int\left(2 x-3 \cos x+e^{x}\right) d x$
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Answer

$\int\left(2 x-3 cos x+e^{x}\right) d x$ 
= $2 \int x d x-3 \int \cos x d x+\int e^{x} d x$ 
= $\frac{2 x^{2}}{2}-3(\sin x)+e^{x}+C$ 
= $x^{2}-3 \sin x+e^{x}+C$

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