Math  /  Calculus

Question3. Let G(x)=1x(t22)dtG(x)=\int_{1}^{x}\left(t^{2}-2\right) d t. Calculate G(1),G(1)G(1), G^{\prime}(1), and G(2)G^{\prime}(2), Then find a formula for G(x)G(x).
4. Find F(0),F(0)F(0), F^{\prime}(0), and F(3)F^{\prime}(3), where F(x)=0xt2+tdtF(x)=\int_{0}^{x} \sqrt{t^{2}+t} d t.
5. Find G(1),G(0)G(1), G^{\prime}(0), and G(π/4)G^{\prime}(\pi / 4), where G(x)=1xtantdtG(x)=\int_{1}^{x} \tan t d t.

Studdy Solution
高层步骤: 7
计算 G(π/4) G'(\pi/4) :
G(π/4)=tan(π/4)=1 G'(\pi/4) = \tan(\pi/4) = 1
高层步骤完成: TRUE

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