定積分

${\displaystyle {\int }_1^2\left(x^3-3x^2+\frac{1}{\sqrt{x}}\right)dx}$を計算しなさい． ⇒ 解答

${\displaystyle {\int }_{-\frac{\pi }{4}}^{\frac{\pi }{2}}sin\left(x+\frac{\pi }{2}\right)dx}$を計算しなさい． ⇒ 解答

${\displaystyle {\int }_2^4{e}^{\frac{1}{2}x}dx}$を計算しなさい． ⇒ 解答

${\displaystyle {\displaystyle {\int }_0^1\frac{x^2+1}{x+1}dx}}$を計算しなさい． ⇒ 解答

${\displaystyle {\int }_1^{\sqrt{2}}\frac{1}{\sqrt{4-2x^2}}dx}$を計算しなさい． ⇒ 解答

${\displaystyle {\displaystyle {\int }_1^{e}x\log xdx}}$を計算しなさい． ⇒ 解答

${\displaystyle {\int }_0^6\left|\frac{x}{2}-1\right|dx}$を計算しなさい． ⇒ 解答

${\displaystyle {\int }_0^1\frac{x^5}{\sqrt{1-x^2}}dx}$を計算しなさい． ⇒ 解答

${\displaystyle {\int }_{\frac{1}{2}}^1\sqrt{1-x^2}dx}$を計算しなさい． ⇒ 解答

${\displaystyle {\displaystyle {\int }_0^{\frac{\pi }{2}}{\sin }^{n}xdx}}$ を計算しなさい． ⇒ 解答

${\displaystyle {\displaystyle {\int }_0^{\frac{\pi }{2}}{\cos }^{n}xdx}}$ を計算しなさい． ⇒ 解答