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

(*)  ${\displaystyle {\displaystyle {\int }_{\frac{\pi }{3}}^{\frac{\pi }{2}}\frac{1}{\sin x}}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_0^{\sqrt{3}-1}\frac{1}{{\left(x+1\right)}^2+3}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {{\displaystyle \int }}_0^1{\left(x\sqrt{1-x^2}\right)}^{3}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_{-3}^0\frac{1}{\sqrt{x^2+16}}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\displaystyle {\int }_0^{\frac{\pi }{4}}\sin x\cos xdx}}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\displaystyle {\int }_0^1\sqrt{4-x^2}}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\displaystyle {\int }_0^1\frac{x}{{\left(1-x^2\right)}^{\frac{1}{3}}}}dx}$ を計算しなさい． ⇒ 解答

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

(*)  ${\displaystyle {\displaystyle {\int }_0^1{x}^2{e}^x}dx}$ を計算しなさい． ⇒ 解答

(*)  $$ {\displaystyle {\int }_2^{4}xlogxdx}$$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_0^{\frac{\pi }{2}}{sin}^{7}xdx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_0^{\frac{\pi }{2}}xcos2xdx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_2^5\frac{1}{2xlog2x}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_1^3{4}^{x}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_0^{\frac{\pi }{4}}\frac{cos2x}{3+sin2x}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_0^{\frac{\pi }{2}}{sin}^{4}x{cos}^{2}xdx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\displaystyle {\int }_0^{\sqrt{2}}{x}^2\sqrt{4-x^2}}dx}$ を計算しなさい． ⇒ 解答

(*)  ${\displaystyle {\int }_3^7\frac{1}{x^2-1}dx}$ を計算しなさい． ⇒ 解答