Calculus Examples

$\int_{0}^{1} e^{0.05} d t$

Step 1

Apply the constant rule.

$e^{0.05} t]_{0}^{1}$

Step 2

Substitute and simplify.

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Step 2.1

Evaluate $e^{0.05} t$ at $1$ and at $0$ .

$(e^{0.05} \cdot 1) - e^{0.05} \cdot 0$

Step 2.2

Simplify.

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Step 2.2.1

Multiply $e^{0.05}$ by $1$ .

$e^{0.05} - e^{0.05} \cdot 0$

Step 2.2.2

Multiply $0$ by $- 1$ .

$e^{0.05} + 0 e^{0.05}$

Step 2.2.3

Multiply $0$ by $e^{0.05}$ .

$e^{0.05} + 0$

Step 2.2.4

Add $e^{0.05}$ and $0$ .

$e^{0.05}$

$e^{0.05}$

$e^{0.05}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$e^{0.05}$

Decimal Form:

$1.05127109 \dots$

Step 4

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$