(a) Evaluate the following integrals. 1 + sin x cos²x (i) J (ii) [e-² sin (iii) J dx sin² x dx 1 x² 6x + 10 dx 2x + 1 (iv) [ 22. x (v) [In d X (vi) J = X cos² X dx dx (b) Use MATLAB symbolic integration to evaluate each of the six integrals above.

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A: According to guideline we need to solve one question. Rest of the questions should be reposted.

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A: Use the formula:

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