Let G(x)=2x^3+7e^ 2x -5 x+ 3 x^2+4

MATHEMATICS · Subjective · CBSE · Mathematics · Integrals · Integrals

Problem

Let

G(x)=2x^3+7e^{2x}-5\cos x+\frac{3}{x^2+4}.

Answer the following: (i) Obtain the indefinite integral of each term of

G(x)

separately. (ii) Hence write the general antiderivative of

G(x)

. (iii) Differentiate your result from part (ii) to verify that it equals

G(x)