Integral Calculator with Steps

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ืžื™ื“ืข ืขืœ ื”ืืคืœื™ืงืฆื™ื” ื”ื–ื•

ื”ืฉืชืžืฉ ื‘ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื” ื–ื” ื›ื“ื™ ืœื”ืขืจื™ืš ื›ืœ ืื™ื ื˜ื’ืจืœ ื‘ืื•ืคืŸ ืžื™ื™ื“ื™.

ืคื•ืชืจ ืื™ื ื˜ื’ืจืฆื™ื” ืฉืœ ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืžืงื•ื•ืŸ ืขื ืฉืœื‘ื™ื ื”ื•ื ืžื—ืฉื‘ื•ืŸ ื—ื›ื ื•ืงืœ ืžืื•ื“ ืœืฉื™ืžื•ืฉ ืœืžื“ื™ื“ืช ื‘ืขื™ื•ืช ืฉืœ ืžืฉื•ื•ืื•ืช ืื™ื ื˜ื’ืจืœื™ื•ืช ื•ืœืกืคืง ืœืš ืคืชืจื•ืŸ ืžื“ื•ื™ืง ืฉืœ ืžืฉื•ื•ืื•ืช ืื™ื ื˜ื’ืจืœื™ื•ืช ื‘ื›ืœื™ ืื™ื ื˜ื’ืจืœื™ ื–ื”.

ืื™ืŸ ืกืคืง ืฉืชืœืžื™ื“ื™ื ืžืจื’ื™ืฉื™ื ืฉื–ื” ืžื•ืจื›ื‘ ืœืคืชื•ืจ ื‘ืขื™ื•ืช ืื™ื ื˜ื’ืจืฆื™ื” ื‘ืื•ืคืŸ ื™ื“ื ื™. ืื‘ืœ ืื ืืชื” ื—ืœืฉ ืœืคืชื•ืจ ื‘ืขื™ื•ืช ืžืฉื•ื•ืื•ืช ืื™ื ื˜ื’ืจืœื™ื•ืช? ืืœ ื“ืื’ื”, ืžื›ื™ื•ื•ืŸ ืฉืžื—ืฉื‘ื•ืŸ ืฉื™ืœื•ื‘ ืœืคื™ ื—ืœืงื™ื ื–ื” ื”ื•ื ืขื•ื–ืจ ืคื•ืชืจ ืื™ื ื˜ื’ืจืฆื™ื” ืžืœื ืœืชืœืžื™ื“ื™ื ืžื›ืœ ื”ื›ื™ืชื•ืช ื•ื”ืจืžื•ืช. ื”ืžื™ืงื•ื“ ื”ืขื™ืงืจื™ ืฉืœ ื™ื™ืฉื•ื ืื™ื ื˜ื’ืจืœื™ ื–ื” ื”ื•ื ืœืกืคืง ืœืš ืืช ื”ื“ืจื›ื™ื ื”ืงืœื•ืช ื‘ื™ื•ืชืจ ืœืคืชื•ืจ ื‘ืขื™ื•ืช ืื™ื ื˜ื’ืจืฆื™ื” ื‘ืืžืฆืขื•ืช ืฉืœื‘ื™ื.

ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืžืงื•ื•ืŸ ื–ื” ืขื ืฉืœื‘ื™ื ื”ื•ื ื”ืืคืœื™ืงืฆื™ื” ื”ืื™ื ื˜ื’ืจืœื™ืช ื”ืžืงื™ืคื” ื‘ื™ื•ืชืจ ืฉื‘ืืžืฆืขื•ืชื” ืชื•ื›ืœื• ืœื‘ืฆืข ื”ืžื•ืŸ ืคืขื•ืœื•ืช ืื™ื ื˜ื’ืจืฆื™ื”. ืืชื” ืฆืจื™ืš ืœื”ื–ื™ืŸ ืคื•ื ืงืฆื™ื”, ืžืฉืชื ื” ื•ื’ื‘ื•ืœื•ืช, ื•ืืชื” ืžื•ื›ืŸ ืœืœื›ืช.

ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื” ืขื ืฉืœื‘ื™ื ืžืืคืฉืจ ืœืš ืœืœืžื•ื“ ืืช ื”ืžื•ืฉื’ื™ื ืฉืœ ื—ื™ืฉื•ื‘ ืื™ื ื˜ื’ืจืœื™ื ืžื‘ืœื™ ืœื‘ื–ื‘ื– ื™ื•ืชืจ ืžื“ื™ ื–ืžืŸ. ืืชื” ื™ื›ื•ืœ ืœื”ืขืจื™ืš ืืช ื”ืื™ื ื˜ื’ืจืœ ื‘ืืžืฆืขื•ืช ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืขื ืฉืœื‘ื™ื ื‘ืื™ื ื˜ืจื ื˜ ื‘ืงืœื•ืช ืขืœ ื™ื“ื™ ืฉื™ืžื•ืฉ ื‘ืืคืœื™ืงืฆื™ื™ืช ืคืชืจื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื” ื–ื•.

ื›ื™ืฆื“ ืคื•ืขืœ ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™?

ืืชื” ื™ื›ื•ืœ ืœืžืฆื•ื ืืช ื”ืื™ื ื˜ื’ืจืœ ืฉืœ ื›ืœ ืคื•ื ืงืฆื™ื” ืขืœ ื™ื“ื™ ืฉื™ืžื•ืฉ ื‘ื™ื™ืฉื•ื ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื” ืขื ืฆืขื“ื™ื ื–ื” ืœืœื ืขืœื•ืช ืœื—ืœื•ื˜ื™ืŸ. ื”ืฉืœื‘ื™ื ื”ื‘ืื™ื ืžื‘ื•ืฆืขื™ื ืขื ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืคืฉื•ื˜ ื–ื” ืœื—ื™ืฉื•ื‘:

- ื‘ืžืกืš ื”ืจืืฉื™, ื”ื–ืŸ ืืช ื”ืคื•ื ืงืฆื™ื” ืฉืœืš.
- ืœืชืฉื•ื‘ื” ืœืœื ืฉื’ื™ืื•ืช, ื”ืฉืชืžืฉ ื‘ืกื•ื’ืจื™ื™ื ืคืชื•ื—ื™ื ื•ืกื’ื•ืจื™ื ื‘ืฉื ื™ื”ื.
- ืขืจื‘ื‘ ืœ"ืื™ื ื˜ื’ืจืœ ืžื•ื’ื“ืจ" ื•"ืื™ื ื˜ื’ืจืœ ื‘ืœืชื™ ืžื•ื’ื“ืจ", ืžื” ืฉืชืจืฆื• ืœื‘ื—ื•ืจ.
- ืฉื™ื ืืช ืขืจื›ื™ ื”ื’ื‘ื•ืœ ื”ืขืœื™ื•ืŸ ื•ื”ืชื—ืชื•ืŸ ื‘ื–ื”ื™ืจื•ืช, ืื ืชื‘ื—ืจ ื‘ืคื•ืชืจ ืื™ื ื˜ื’ืจืœื™ ืžื•ื’ื“ืจ.
- ืœื—ืฅ ืขืœ ื›ืคืชื•ืจ "=" ื›ื“ื™ ืœื”ืชื—ื™ืœ ื‘ืขื™ื‘ื•ื“ ื”ืชืฉื•ื‘ื” ืฉืœืš.
- ื”ืฉืชืžืฉ ื‘ืกื•ื’ืจื™ื™ื ืชืœืชืœื™ื, ื›ืืฉืจ ืืชื” ืฉื ืžืฉื”ื• ื‘ื—ื–ืงืช ื”ืคื•ื ืงืฆื™ื”, ืœืžืฉืœ e^{3x+5}.

ืกื•ื’ื™ื ืฉืœ ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืœืคืฉื˜:

ืœื”ืœืŸ ืกื•ื’ื™ ื”ืืคืœื™ืงืฆื™ื” ื”ืื™ื ื˜ื’ืจืœื™ืช ืฉืœ ืžื—ืฉื‘ื•ืŸ ืžืชืžื˜ื™ืงื” ื”ื–ืžื™ื ื•ืช ื‘ืืคืœื™ืงืฆื™ื™ืช ื ื•ืกื—ืช ื”ืื™ื ื˜ื’ืจืฆื™ื”

- ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืžื•ื‘ื”ืง
- ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ื‘ืœืชื™ ืžื•ื’ื‘ืœ
- ืžื—ืฉื‘ื•ืŸ ืฉื™ื˜ืช ื›ื‘ื™ืกื”
- ืžื—ืฉื‘ื•ืŸ ืฉื™ื˜ืช ืžืขื˜ืคืช
- ืžื—ืฉื‘ื•ืŸ ืฉื™ื˜ืช ื“ื™ืกืง
- ืžื—ืฉื‘ื•ืŸ ื˜ืจื ืกืคื•ืจืžืฆื™ื” ืฉืœ laplace
- ืžื—ืฉื‘ื•ืŸ ื˜ืจื ืกืคื•ืจืžืฆื™ื” ืคื•ืจื™ื™ื”
- ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืœื ืชืงื™ืŸ
- ืื™ื ื˜ื’ืจืฆื™ื” ืขืœ ื™ื“ื™ ืžื—ืฉื‘ื•ืŸ ื—ืœืงื™ื
- ืื™ื ื˜ื’ืจืฆื™ื” ืขืœ ื™ื“ื™ ืžื—ืฉื‘ื•ืŸ ืฉื‘ืจ ื—ืœืงื™
- ืžื—ืฉื‘ื•ืŸ ื”ื—ืœืคื” ื˜ืจื™ื’ื•ื ื•ืžื˜ืจื™
- ืžื—ืฉื‘ื•ืŸ ื”ื—ืœืคื” u
- ืžื—ืฉื‘ื•ืŸ ืกื›ื•ื ืจื™ืžืŸ
- ืžื—ืฉื‘ื•ืŸ ื›ืœืœ ื˜ืจืคื–
- ืžื—ืฉื‘ื•ืŸ ื›ืœืœื™ื ืฉืœ ืกื™ืžืคืกื•ืŸ
- ืฉื˜ื— ืžืชื—ืช ืœืžื—ืฉื‘ื•ืŸ ื”ืขืงื•ืžื”
- ืžื—ืฉื‘ื•ืŸ ื—ืœื•ืงื” ืืจื•ื›ื”

ืชื›ื•ื ื•ืช ืฉืœ ืคื•ืชืจ ืื™ื ื˜ื’ืจืฆื™ื” ืฉืœ ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืขื ืฉืœื‘ื™ื

ื™ืฉ ืžื’ื•ื•ืŸ ืจื—ื‘ ืฉืœ ืื™ื ื˜ื’ืจืœื™ื ื•ืžื—ืฉื‘ื•ืŸ ื–ื” ืžื›ื™ืœ ื‘ืชื•ื›ื• ื›ืžืขื˜ ื›ืœ ืื™ื ื˜ื’ืจืฆื™ื” ืืคืฉืจื™ืช:

- 100% ืชื•ืฆืื•ืช ืžื“ื•ื™ืงื•ืช
- ืื™ื ื˜ื’ืจืœื™ื ืžื•ื‘ื”ืงื™ื
- ืื™ื ื˜ื’ืจืœื™ื ื‘ืœืชื™ ืžื•ื’ื“ืจื™ื
- ืคืชืจื•ืŸ ืฉืœื‘ ืื—ืจ ืฉืœื‘ ืชื•ืš ืฉื™ืžื•ืฉ ื‘ื™ื™ืฉื•ื ืื™ื ื˜ื’ืจืœื™.
- ืคื•ื ืงืฆื™ื•ืช ืื™ื ื˜ื’ืจืฆื™ื” ืฉื•ื ื•ืช ื‘ืืคืœื™ืงืฆื™ื™ืช ื ื•ืกื—ืช ืื™ื ื˜ื’ืจืฆื™ื” ืื—ืช.
- ืžืžืฉืง ื™ื“ื™ื“ื•ืชื™ ืœืžืฉืชืžืฉ ืœืฉื™ืžื•ืฉ ื‘ืืคืœื™ืงืฆื™ื” ืœืคืชืจื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื”.
- ื—ืกื•ืš ื–ืžืŸ ืขื ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื” ื˜ื‘ืœืื™.
- ืžืงืœื“ืช ืžื“ืขื™ืช ืžืชืงื“ืžืช ืœืฉื™ืžื•ืฉ ื‘ืฉื™ืœื•ื‘ ืœืคื™ ืžื—ืฉื‘ื•ืŸ ื—ืœืงื™ื.
- ื—ืกื•ืš ืœืš ืžืขื ื” ืžืงื•ืžื™ ื‘ืžื›ืฉื™ืจ ืฉืœืš ืขื ื›ืœื™ ืื™ื ื˜ื’ืจืœื™.
- ืื™ื ื˜ื’ืจืœ ืฉืœ ืžื—ืฉื‘ื•ืŸ ืขื ืฉืœื‘ื™ื ื•ืคื•ื ืงืฆื™ื•ืช ืžืจื•ื‘ื•ืช.
- ืื™ื ื˜ื’ืจืœ ืžื—ืฉื‘ื•ืŸ ืžืœื ืœืคืชืจื•ืŸ ืื™ื ื˜ื’ืจืœื™ื ื‘ื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™.

ื›ื™ืฆื“ ืœืคืชื•ืจ ืžืฉื•ื•ืื•ืช ืื™ื ื˜ื’ืจืœื™ื ืขื ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืฆื™ื” ืขื ืฉืœื‘ื™ื?

ืคื•ืชืจ ืื™ื ื˜ื’ืจืฆื™ื” ืฉืœ ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืขื ืฉืœื‘ื™ื ื”ื•ื ืื™ื ื˜ื’ืจืœ ืžื—ืฉื‘ื•ืŸ ืžืชืžื˜ื™ ืžืงื•ื•ืŸ ืฉื™ื›ื•ืœ ืœืคืชื•ืจ ืืช ื›ืœ ื”ืคื•ื ืงืฆื™ื•ืช ืฉืœ ืื™ื ื˜ื’ืจืœื™ื ื‘ืชื•ืš ื›ืœื™ ืื™ื ื˜ื’ืจืœื™ ื–ื”. ืื™ื ื˜ื’ืจืœ ืžื—ืฉื‘ื•ืŸ ื–ื” ืžืกืคืง ืคืชืจื•ืŸ ืฆืขื“ ืื—ืจ ืฆืขื“ ืชื•ืš ื”ืคืกืงื” ืฉืœ ื ืฉื™ืžื”. ืžื—ืฉื‘ื•ืŸ ืื™ื ื˜ื’ืจืœื™ ืžืงื•ื•ืŸ ืขื ืฉืœื‘ื™ื ื”ื•ื ืฉื™ืœื•ื‘ ืฉืœ ืืคืœื™ืงืฆื™ื™ืช ืžื—ืฉื‘ื•ื ื™ื ืฉืžื‘ื™ื ื™ื ื›ืœ ืฉืœื‘ ืœืžื“ื™ื“ืช ืคืชืจื•ืŸ ืื™ื ื˜ื’ืจืœื™.

ืื– ื–ื”ื• ื”ืžื—ืฉื‘ื•ืŸ ื”ืื™ื ื˜ื’ืจืœื™ ื”ื˜ื•ื‘ ื‘ื™ื•ืชืจ ืฆืขื“ ืื—ืจ ืฆืขื“ ื”ืžืกืคืง ืืช ื”ืคืชืจื•ืŸ ืฉืœ ื›ืœ ื‘ืขื™ื” ื•ื‘ืขื™ื•ืช. ืื‘ืœ ืื ื™ืฉ ื—ื•ืกืจ ื‘ืืคืœื™ืงืฆื™ื™ืช ื”ืื™ื ื˜ื’ืจืฆื™ื” ื”ื–ื•, ืืชื” ื™ื›ื•ืœ ืœื”ืฆื™ืข ืื•ืชื” ื‘ืกืขื™ืฃ ื”ื”ืขืจื•ืช.
ืขื“ื›ื•ืŸ ืื—ืจื•ืŸ ื‘ืชืืจื™ืš
7 ื‘ืžืจืฅ 2024

ืื‘ื˜ื—ืช ื ืชื•ื ื™ื

ื›ื“ื™ ืœืฉืžื•ืจ ืขืœ ื”ื‘ื˜ื™ื—ื•ืช ืฆืจื™ืš ืงื•ื“ื ื›ืœ ืœื”ื‘ื™ืŸ ืื™ืš ื”ืžืคืชื—ื™ื ืื•ืกืคื™ื ื•ืžืฉืชืคื™ื ืืช ื”ื ืชื•ื ื™ื ืฉืœืš. ื ื•ื”ืœื™ ืคืจื˜ื™ื•ืช ื”ื ืชื•ื ื™ื ื•ืื‘ื˜ื—ืช ื”ื ืชื•ื ื™ื ืขืฉื•ื™ื™ื ืœื”ืฉืชื ื•ืช ื‘ื”ืชืื ืœืฉื™ืžื•ืฉ, ืœืื–ื•ืจ ื•ืœื’ื™ืœ ื”ืžืฉืชืžืฉ. ื”ืžืคืชื— ืกื™ืคืง ืืช ื”ืžื™ื“ืข ื”ื–ื” ื•ื”ื•ื ืขืฉื•ื™ ืœืขื“ื›ืŸ ืื•ืชื• ืžื“ื™ ืคืขื.
ื”ืืคืœื™ืงืฆื™ื” ื”ื–ืืช ืขืฉื•ื™ื” ืœืฉืชืฃ ืืช ืกื•ื’ื™ ื”ื ืชื•ื ื™ื ื”ืืœื” ืขื ืฆื“ื“ื™ื ืฉืœื™ืฉื™ื™ื
ืžื™ืงื•ื, ืคืขื™ืœื•ืช ื‘ืืคืœื™ืงืฆื™ื•ืช ื•-2 ื ื•ืกืคื™ื
ื”ืืคืœื™ืงืฆื™ื” ื”ื–ืืช ืขืฉื•ื™ื” ืœืืกื•ืฃ ืืช ืกื•ื’ื™ ื”ื ืชื•ื ื™ื ื”ืืœื”
ืžื™ืงื•ื, ืคืขื™ืœื•ืช ื‘ืืคืœื™ืงืฆื™ื•ืช ื•-2 ื ื•ืกืคื™ื
ื”ื ืชื•ื ื™ื ืžื•ืฆืคื ื™ื ื‘ื–ืžืŸ ื”ื”ืขื‘ืจื”
ืื™ ืืคืฉืจ ืœืžื—ื•ืง ืืช ื”ื ืชื•ื ื™ื

ืžื” ื—ื“ืฉ

Integral Calculator with Steps Latest Version 8 (1.0.7)

ืชืžื™ื›ื” ื‘ืืคืœื™ืงืฆื™ื”

ืžื™ื“ืข ืขืœ ืžืคืชื—ื™ ื”ืืคืœื™ืงืฆื™ื”
Hafiz Muhammad F Khan
United Kingdom
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