Integral Calculator


Do you find it annoyingly difficult to calculate Integrals? Here is what you can do about it. Byju’s free online integral calculator lets you calculate integrals and antiderivatives of functions in few simple steps.
Integral Calculus
Integral calculus deals with the study of integrals and their properties. It is mostly useful to calculate \(\int\) from \(\int'\).
Where function \(\int\) is differentiable in the interval of consideration and \(\int'\) is defined in that interval.
Integral Calculator computes an indefinite integral that is anti-derivative of a function with regards to a provided variable. This tool makes computations easy as well as fun. Use Integral Calculator (Integration Calculator) and get your problems solved much quickly.
Example 1 – Find the indicated integral \(\int \sqrt{x}dx\)
Solution – \(\int \sqrt{x}dx\) \(= \int x^{\frac{1}{2}}dx\) \(= \frac{2}{3}x^{\frac{3}{2}}+C\) \(= \frac{2}{3}x\sqrt{x}+C\) Example 2 – Find the indicated integral \(\int \frac{x^{2}+3x-2}{\sqrt{x}}dx\)
Solution – \(\int \frac{x^{2}+3x-2}{\sqrt{x}}dx\) \(= \int x^{\frac{3}{2}}dx+3\int x^{\frac{1}{2}}dx-2\int x^{-\frac{1}{2}}dx\) \(= \frac{2}{5}x^{\frac{5}{2}}+3.\frac{2}{3}x^{\frac{3}{2}}-2.2x^{\frac{1}{2}}+C\) \(= \frac{2}{5}x^{\frac{5}{2}} + 2x^{\frac{3}{2}}-4x^{\frac{1}{2}}+C\) \(= \frac{2}{5}x^{2}\sqrt{x}+2x\sqrt{x}-4\sqrt{x}+C\)

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