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Mathematics20252 marksNumericalIntegrals

Solve the following.

Evaluate: ∫ ((x² + sin x)/(1 + x²))sec² x dx

Evaluate: $\int \left(\dfrac{x^2 + \sin x}{1 + x^2}\right)\sec^2 x\,dx$

Answer

Answer

The integrand as read from the scan, $\dfrac{x^2 + \sin x}{1 + x^2}\sec^2 x$, has no elementary antiderivative, so the printed integrand has probably been misread. Answer held until the owner checks the paper's integrand.

Final answer: check the printed integrand