(a) Express $\int _ { 0 } ^ { x } \sin \left( t ^ { 2 } \right) d t$ as a Maclaurin series.(b) Evaluate $\int _ { 0 } ^ { 03 } \sin \left( x ^ { 2 } \right) d x$ as a series.

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The Answer of (a) Express $\int _ { 0 } ^ { x } \sin \left( t ^ { 2 } \right) d t$ as a Maclaurin series.(b) Evaluate $\int _ { 0 } ^ { 03 } \sin \left( x ^ { 2 } \right) d x$ as a series.

(A) Express ∫0xsin⁡(t2)dt\int _ { 0 } ^ { x } \sin \left( t ^ { 2 } \right) d t∫0x​sin(t2)dt

(A) Express $\int _ { 0 } ^ { x } \sin \left( t ^ { 2 } \right) d t$