<ol class="abc-list"><li><div class="list-item-paragraph">Find $\displaystyle\int{x\mathrm{ cose}{{\mathrm{c}}^{2}}}3x\mathrm{ d}x$.<span class="inline-marks">[2]</span></div></li><li><div class="list-item-paragraph">The diagram shows region $R$, which is bounded by the line $x=4$, the curves $y=\frac{1}{x}+2$ and $x={{\left( y-2 \right)}^{2}}$. Find the volume of the solid formed when $R$ is rotated through $2\pi $ radians about the $x$-axis.<span class="inline-marks">[3]</span></div><div class="list-item-image"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/converted/1764583565247-ct5y32ojyi9.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvY29udmVydGVkLzE3NjQ1ODM1NjUyNDctY3Q1eTMyb2p5aTkucG5nIiwic2NvcGUiOiJkb3dubG9hZCIsImlhdCI6MTc5MzU2MTIzNCwiZXhwIjoxNzkzNTYxNTM0fQ.JsQ_0F1rop3ClgdnHw40c2l0teYPc6Yrl31DX7HIkoY" alt="List item image" /></div></li></ol>

Find $\displaystyle\displaystyle \displaystyle\int{x\mathrm{ cose}{{\mathrm{c}}^{2}}}3x\mathrm{ d}x$.

The diagram shows region $R$, which is bounded by the line $x=4$, the curves $y=\frac{1}{x}+2$ and $x={{\left( y-2 \right)}^{2}}$. Find the volume of the solid formed when $R$ is rotated through $2\pi $ radians about the $x$-axis.

2022 ASRJC J2 MYCT P1 Q12

2022 ASRJC J2 MYCT P1 Q12

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