A Level

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Evaluate ∫(3x2+4x−6cos⁡2x) dx\displaystyle \int \bigl(3x^{2} + \dfrac{4}{x} - 6\cos 2x\bigr)\,dx. (a) x3+4ln⁡∣x∣−6sin⁡2x+Cx^{3} + 4\ln|x| - 6\sin 2x + C (b) x3+4ln⁡∣x∣+3sin⁡2x+Cx^{3} + 4\ln|x| + 3\sin 2x + C (c) x3+4ln⁡∣x∣−3sin⁡2x+Cx^{3} + 4\ln|x| - 3\sin 2x + C (d) 3x3+4ln⁡∣x∣−3sin⁡2x+C3x^{3} + 4\ln|x| - 3\sin 2x + C

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